# Find a decimal approx for S (sub 15) in the geometric sequence with first term 83 and common ratio 1.07

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### math

Find a decimal approx for S (sub 15) in the geometric sequence with first term 83 and common ratio 1.07

### Algebra

I am so lost on these problems. Write a geometric sequence that starts with 3 and has a common ratio of 5. What is the 23rd term in the sequence. Write an arithmetic sequence that has a common difference of 4 and the eighth term is 13. What is the first term? What is the 23rd ...

### Maths

1..The first 2 terms of a geometric progression are the same as the first two terms of an arithmetic progression.The first term is 12 and is greater than the second term.The sum of the first 3 terms od the arithmetic progression is 4/3 less than the sum of the first 3 terms of...

### someone explain to me!

the third term of a geometric sequence is t3= -75 and the sixth term is t6=9375. determine the first term and the common ratio. how do I do this question I am tying really hard but I still don't comprehend this question! We have t3 = -75 and t6 = 9375. A geometric sequence ...

### Math

A sequence is formed by adding together the corresponding terms of a geometric sequence and and an arithmetic sequence.The common ratio of the geometric sequence is 2 and the common difference of the arithmetic sequence is 2.The first term of the new sequence is 1 and the ...

### math!

george entered a function into his calculator andfound the following partail sums s1=0.0016 s2= 0.0096 s3= 0.0496 s4= 0.2496 s5= 1.2496 determine the genral term of the corresponding sequence how would I approach this question? If this is a series then sn is the sum of the ...

### Math

1. What is the tenth term of the geometric sequence whose first term (a1) is 16 and the common ratio (r) is –½? 2. Given the terms a10 = 3 / 512 and a15 = 3 / 16384 of a geometric sequence, find the exact value of the first term of the sequence.

### math...

how can I tell if a sequences is airthmetic, geometric or neither? determine the first three terms of each and determine if each are airthmetic, geometric or neither. 1) tn=5t n-1+ 3 wheret 1=2 first three terms: 3,13,23 airthmetic 2)t(n)= -3(4)^n first three terms:-12,-48,-...

### pre-calculus urgent

Please help me here as well to clarify more my understanding. Let a1, a2, a3, . . . be a geometric sequence with initial term a and common ratio r. Show that a1^2, a2^2, a3^2, . . . is also a geometric sequence by finding its common ratio. Given that the ratio for a1, a2, a3...

### Math *URGENT

Please give the answers and solutions for each. 1.If the second term is 2 and the seventh term of a geometric sequence is 64, find the 12th term. 2. Which term if the geometric sequence 18,54,162,486,... is 3,188,646? 3. Determine the geometric mean of 8 and 288 4.Find x if ...

### math!

determine two geometreic sequences whose first terms are 18x-9, 2x+8 and x-1 how would I go about and do this question? I have no idea! so a little help would be really helpful! thanks! A geometric sequence looks like a, ar, ar2, ar3, ..., arn, ... where a is usually called ...

### confused+ math!

A finite geometric sequence has t1= 0.1024 and t2= 0.256 how many terms does this sequence have if its middle temr has the value 156.25? how would go about and do this question? If t1 = 0.1024 and t2 = 0.256, then the common ratio is t2/t1 = 2.5 The value at term n is given by...

### Math

1. Find the common ratio and the 7th term of the sequence 2/9, 2/3, 2, 6, 18, ..... 2. The 3rd and 5th terms of a geometric sequence are 2 and 1/2 respectively. What is the first term? 3. Find the geometric mean between: a. 1/2 and 1/3 b. sqrt5 - sqrt2

### check!

If the third and ninth temr of a geometric series with a positive common ratio are -3 and -192 repectively, determine the value of the first term a Let a_1 be denoted by 'a' (first terms) then, a_3=r^2 a And, a_9=r^8 a Thus, r^8 a=-192 r^2 a=-3 Divide two equations, r^6=64=2^6...

### Maths

Eric thinks of 2 sequences.One is geometric and the other arithmetic.Both sequences start with the number 3.The common ratio of the geometric sequence is the same as the common difference of the arithmetic sequence.If the 6-th term of the geometric sequence is 96.Find the ...

### math

Determine whether each sequence is arithmetic or geometric. Find the next three terms. 1. 14, 19, 24, 29, . . . (1 point) geometric, 34, 39, 44 arithmetic, 32, 36, 41 arithmetic, 34, 39, 44 *** The sequence is neither geometric nor arithmetic. 2. –4, 8, –16, 32, . . . (1 ...

### Math Help!!!

determine whether each sequence is arithmetic or geometric. find the next three terms. 1. 14,19,24,29.... geometric, 34,39,44 arithmetic,32,36,41 arithmetic 34,39,44**** the sequence is nether geometric nor arithmetic 2. -4,8,-16,32.... arithmetic. 64,128,256 geometric -64,128...

### Geometric Sequence

Find the fourth term (a4) of geometric sequence if the first term (a1) is 2 and the common ratio, r is 4.

### math30

Sequences 1)A sequence has a first term of 24 and every other term is one half of the previous term. a)Write the first four terms of the sequence. b)Find a recursive formula that defines this sequence. c)Find an explicit formula that defines this sequence. This will be ...

### MATH

A new sequence is formed by adding together the corresponding terms of a geometric sequence and an arithmetric sequence. the geometric sequence has a common ratio of 3 and the arthmetric sequence has a common difference of -2. The first two terms of the new sequence are 4 and ...

### MATH!!

~Determine whether each sequence is arithmetic or geometric fund the next three terms~ *Doing a math unit test and stuck on these five* 1.14,19,24,29.... 2.-2,8,-16,32... 3.81,27,9,3... 4.What are the first four terms of an arithmetric sequence if the common diffrence is 1.5 ...

### math

The 1st,5th,13th term of an arithmetic sequence are the first 3 terms of geometric sequence with a common ratio of 2. If the 21st term of the arithmetic sequence is 72, calculate the sum of the first 10 terms of the geometric sequence.

### maths

The common ratio r of a geometric sequence satisfies the quadratic equation 2r squared - 3r -2 = 0. If the sum to infinity of the same sequence is 6, explain why, in this case, r can only take on one value, and hence state the common ratio, r. Also, show that the first term 'a...

### Math(arithmetic & Geometric Series)

1)The sum of 6 terms of an arithmetic series is 45, the sum of 12 terms is -8. Find the first term and the common difference? 2)If in a geometric sequence the sum of the second and the third is 20 and the sum of the fourth and fifth is 320, find the common ratio and the first ...

### Algebra

1. Find the general rule for each arithmetic or geometric sequence. 2. Calculate the 10th term for each sequence. a) a=a sub n-1*n a sub one=9 b) a sub n=a sub n-1 + 8 a sub 1=-17 c) a sub n=a sub n-1 + 2 a sub 1=9 d) a=n*a sub n-1 a sub one=1 I don't understand how to ...

### maths

Given that the sum of the first four terms of a geometric sequence is 10 and the fourth term is half the third term . find the common ratio and the first term

### Math

1. The fourth and seventh terms of a geometric sequence are 6 and 384, respectively. What is the common ratio and the sixth term of the sequence? 2. The fifth and eight terms of a geometric sequence of real numbers are 7! and 8! respectively. What is the first term?

### algebra

1. The geometric mean between the first two terms in a geometric sequence is 32. If the third term is 4, find the first term. 2. Insert a geometric mean between k and 1/k. 3. If 2 and 3 are two geometric means between m and n, fond the values of m and n. 4. Three positive ...

### Alg 2

The first term of a geometric sequence is 25, and the fourth term is 1\5. (a) Find the common ratio r. r = Find the fifth term. a5 = (b) Find the partial sum of the first eight terms. S8 =

### math

The first term of a geometric sequence is 9 and the common ratio is -1 over 3. find the fourth term

### maths

given 1,0.5,4,o.25,7,0.125,10 assume this pattern continues consistently 1.write down the 33th term in this sequence 2.determine the sum of the first 24 terms in this sequence.give the answer to five decimal place 2.1.in a geometric sequence the fourth term is root of 3 and ...

### MaTh

A certain 300-term geometric sequence has first term 1337 and common ratio -1/2. How many terms of this sequence are greater than 1?

### Can someone help me?!

The 1st, 5th and 13th terms of an arithmetic sequence are the first three terms of a geometric sequence with a common ratio 2. If the 21st term of the arithmetic sequence is 72, calculate the sum of the first 10 terms of the geometric sequence.

### math

The first term of a geometric sequence is -2 and the common ratio is 3. What is the 12th term of the sequence?

### math

in an arithmetic sequence the common difference is equal to 2.the first term is also the first term of a geometric sequence. the sum of the first 3 terms of an arithmetic sequence and the sum of the first 9 terms of an arithmetic sequence form the 2nd and 3rd terms of a ...

### algebra

Find the eight term of the geometric sequence for which the first element is 3/8 and the common ratio is 2.

### Algebra 2

The third and sixth terms of a geometric sequence are -75 and -9375 respectively. Find the first term, the common ratio, and an explicit rule for the nth term.

### Algebra ASAP

pls pls help out A geometric sequence begins 36, 9, 9/4, 9/16, 9/64, . . . . (a) Find the common ratio r for this sequence. r = (b) Find a formula for the nth term an of the sequence. an = (c) Find the tenth term of the sequence. a10 =

### math

the third term of a geometric sequence is t3= -75 and the sixth term is t6= 9375. determine the first term and the common ratio

### math

find the fourth term of the geometric sequence whose first is 200 and common ratio is 7/2

### Algebra

Need to get these problems checked-- 31. Determine whether the sequence 7, 21, 35, 49 is geometric. If so, find its common ratio. a. no b. yes, common ratio of 14 c. yes, common ratio of 12 I'm stuck between A and B.. 32. What are the next three terms of the geometric sequence...

### math

find the fourth term of the geometric sequence whose first term is 8 and whose common ratio is -2, a under 4 = .

### math-algebra 1

Find the 6th term of the geometric sequence whose common ratio is 1/3 and whose first term is 7.

### Math

1.) What is the formula for the nth term of the arithmetic sequence that has a common difference of 8 and a first term of 4? 2.) What is the formula for the nth term of the geometric sequence that has a first term of 2 and a ratio of 3?

### Algebra

What are the first four terms of an arithmetic sequence if the common difference is 1.5 and the first term is 15? 15,30,45,60 15,16.5,18,19.5 15,22.5,33.75,50.625 none of the above What are the first four terms of a geometric sequence if the common ratio is 10 and the first ...

### MATH HELP

Match the sequence (term) with the correct type of sequence (definition). Match Term Definition 128, 32, 8, 2, ... A) Geometric, common ratio is 0.25 1, 3, 9, 27, ... B) Arithmetic, common difference is 5 5, 10, 15, 20, ... C) Geometric, common ratio is 3 20, 17, 14, 11, ... D...

### Algebra

Determine whether each sequence is arithmetic or geometric. Find the next three terms. 14, 19, 24, 29, . . . A.geometric, 34, 39, 44 B.arithmetic, 32, 36, 41 C.arithmetic, 34, 39, 44 D.The sequence is neither geometric nor arithmetic. I think this is C...? What are the first ...

### Advanced Functions

I need help answering these questions 1. State the Common Ratio of the following Geometric sequence 3/4 , 3/10 , 3/25 , 6/125 2. In the Arithmetic Sequence below, X = ___ 100 , ___ , _X_ , 64 3. For the Geometric Sequence below, X = ___ _X_ , 48 , ___ , ___ , 6 4. Given the ...

### math

In the geometric progression, the first is a and the common ratio is r. The sun of the first two terms is 12 and the third term is 16 Determine the ratio (ar^2)/(a+ar) If the first term is larger than the second term, find the value of r.

### Geometric progression

The second term of a geometric progression is 12 more than the first term given that the common the ratio is half of the first term. Find the third term of the Geometric progression

### Geometric Progression.

The fifth of an exponential sequence (GP) is greater than the fourth term by 13.5 and fourth term is greater than the thrid by 9.Find:common ratio and the first term.

### math

find the 25th term of a geometric sequence having a common ratio r=1/4 and term a=3

### Geometric Series (Algebra 2)

I need some assistance or a formula when trying to find the first term of geometric series please! I don't understand this!!!! What is the first term of a geometric series with a summation of 289, 5 terms and a common ratio of 1/2?

### math30

Write the first three terms of a geometric sequence that has a first term of a = 7 and a common ratio, r, that satisfies r2 = 9.

### Pre-Calculus

Find the twelfth term of the geometric sequence: 1/16, 1/8, 1/4.... Common ratio: 1/2 I got the ratio by dividing 1/16 by 1/8 which gave me 1/2 and I divided 1/8 by 1/4 to get 1/2-----That is how I got a common ratio of 1/2. In order to obtain the 12th term I think I messed up...

### math

suppose an arithmetic sequence and a geometric sequence with common ration r have the same first two terms. show that the third term of the geometric series is r^2/(2r-1) tomes the third term of the arithmetic sequence

### Sequence

Find the common difference and a formula formula for the nth term of the arithmetic sequence; 6, 2, -2, -6, -10,...a sub n = a)6-4n b)6-2n c)10-2n d)10-4n I think it is c but want to check. Ao is 10, then each term subtracts 4n from it....n=1, ... well if 6 is equal to the ...

### Alg2

A geometric sequence has a common ratio of 4. If the fifth term in the sequence is 2256, what is the second term?

### Algebra ll

Help please, I don't understand how to do this... Give an example of an arithmetic sequence that is found in the real world. Find the common difference and write a recursive and iterative rule for the sequence. Use one of the rules to find another term of the sequence. Then ...

### arithmetic

1. The first and last term of an A.P are, a and l respectively, show that the sum of nth term from the beginning and nth term from the end is a + l. 2. If mth term of an A.P be 1/n and nth term be 1/m, then show that its mnth term is 1. 3. The sum of four numbers which are in ...

### arithmetic

1. The first and last term of an A.P are, a and l respectively, show that the sum of nth term from the beginning and nth term from the end is a + l. 2. If mth term of an A.P be 1/n and nth term be 1/m, then show that its mnth term is 1. 3. The sum of four numbers which are in ...

### math

what are the first four terms of a geometric sequence if the common ratio is 10 and the first term is 4.5 4.5 .45 .045 .0045 4.5 9.0 13.5 18.0 4.5 14.5 24.5 34.5 none of the above

### Maths

The first, third and ninth terms of an arithmetic sequence form the terms of a geometric sequence. Find the common ratio of the geometric sequences. a, a+2d, a+8d a+2d/a = a+8d/a+2d ?

### Algebra

What are the first four terms of a geometric sequence if the common ratio is 10 and the first term is 4.5? A.4.5, .45, .045, .0045 B.4.5, 9.0, 13.5, 18.0 C.4.5, 14.5, 24.5, 34.5 D.none of the above I think this is D...?

### Math

an = 3n - 1 Answer 2, 3, 4, 5 2, 5, 8, 11 -2, -5, -8, -11 4, 7, 10, 13 3 points Question 2 Write the first four terms of the sequence whose general term is given. an = 2(2n - 3) Answer -6, -2, 2, 6 -1, 1, 3, 5 -2, -4, -6, -8 -2, 2, 6, 10 3 points Question 3 Write the first ...

### Math

Question 1 Write the first four terms of the sequence whose general term is given. an = 3n - 1 Answer 2, 3, 4, 5 2, 5, 8, 11 -2, -5, -8, -11 4, 7, 10, 13 3 points Question 2 Write the first four terms of the sequence whose general term is given. an = 2(2n - 3) Answer -6, -2, 2...

### Math PLEASE HELP PLEASE PLEASE PLEASE

Question 1 Write the first four terms of the sequence whose general term is given. an = 3n - 1 Answer 2, 3, 4, 5 2, 5, 8, 11 -2, -5, -8, -11 4, 7, 10, 13 3 points Question 2 Write the first four terms of the sequence whose general term is given. an = 2(2n - 3) Answer -6, -2, 2...

### maths

The first term of a geometric sequence is 31(1/4),the last term is 2 and the sum of the associated series is 50(3/4).what is the common ratio and how many terms are there in the series?

### Algebra1

Determine 5th term in the geometric sequence whose first term id 4 and whose common ratio is 3

### Algebra1

Determine 3rd term in the geometric sequence whose first term is -8 and whose common ratio is 6

### Pre-Cal

1) Write the first five temrs of the geometric sequence a1 = 2 r=sqrt3 I know the first term is 2 but the sqrt 3 threw me off so I do not know how to find the next numbers. 2) Find the nth term of the geometric sequence. a2 = 3 a5 = 3/64 n=1 I know the formula is a1^r n-1 but ...

### Pre-Cal(Please help)

1) Write the first five temrs of the geometric sequence a1 = 2 r=sqrt3 I know the first term is 2 but the sqrt 3 threw me off so I do not know how to find the next numbers. 2) Find the nth term of the geometric sequence. a2 = 3 a5 = 3/64 n=1 I know the formula is a1^r n-1 but ...

### maths and science

The first term of a geometric sequence is 125÷4,the last term is 2, and the sum of the associated series is 203÷4. What is the common ratio and how many terms are there in the series?

### Math

first three terms of a geometric sequence are the same as the 1st, 9th and 11th terms of an arithmetic sequence, respectively. What is the common ratio in the geometric sequence ? Thanks!

### math

in a geometric sequence the first term is 2. The 3rd term is the sum of the 1st and 2nd term. Find the ratio, and the 2 terms

### geometric sequence

The sum of the 2nd and 5th terms of a geometric sequence is 3.5. The sum of the 3rd and 6th is -7. Determine the ratio r of the sequence and the first term a.

### algebra1

Which of the following functions represents a geometric sequence? Why? Answer Choices The function f(x)=x7 represents a geometric sequence because each term is raised to the seventh power to make it greater. The function f(x)=7x represents a geometric sequence because each ...

### math C2 sequences and series

The eight,fourth and second terms of an arithmetic progression form the first three terms of a geometric series. The arithmetic progression has first term A and common difference d, and the geometric progression has first term G and common ratio r. a)Given that d is not equal ...

### Geomatic Sequence

In a geomatic sequence, the seventh term exceeds the fifth term by 1920. Find the sum of the first eleven terms if the common ratio of the sequence is 2.

### plz sequence sir steve reiny bob damon i need u

The three real,distint and non-zero numbers a,b,c are such that a,b,c are in arithmetic progression and a,c,b are in geometric progression. Find the numerical value of the common ratio of the geometric progression.. Hence,find an expression in terms of a for the sum to ...

### maths science and geography

in a geometric sequence,the fifth term is four times the third term,and the second term is 4.if r<0 determine the value of r,the common ratio

### Quick math help

Find the tenth term of the sequence: -6,1,8... Is it 57? For the sequence:2,4,8,16 the value of s4 is____. Is it 8? Find the 7th term of the sequence: 1,2,4,... Is it 64? Which term of this sequence is 275? 5,10,15,... Is it 1357? Find the 7thterm of an. Arithmetic sequence ...

### Quick Math Help

Find the tenth term of the sequence: -6,1,8... Is it 57? For the sequence:2,4,8,16 the value of s4 is____. Is it 8? Find the 7th term of the sequence: 1,2,4,... Is it 64? Which term of this sequence is 275? 5,10,15,... Is it 1357? Find the 7thterm of an. Arithmetic sequence ...

### Quick math help

Find the tenth term of the sequence: -6,1,8... Is it 57? For the sequence:2,4,8,16 the value of s4 is____. Is it 8? Find the 7th term of the sequence: 1,2,4,... Is it 64? Which term of this sequence is 275? 5,10,15,... Is it 1357? Find the 7thterm of an. Arithmetic sequence ...

### Algebra--One Quick Question

31. Determine whether the sequence 7, 21, 35, 49 is geometric. If so, find its common ratio. a. no b. yes, common ratio of 14 c. yes, common ratio of 12 B? Thanks -MC

### Math

Please help me with my midterm review my teacher was out sick today and idk how much longer she will be but my midterms Thursday. She only helps people who she has seen done there midterm review and gotten over half of it right so can any of you please help me. Write the first...

### Maths

The nth term and the sum of n terms of a geometric sequence are 5 and 55 respectively. If the commom ratio is -(1/2)n find the first term and value of n

### math

how do i find the common ratio of the infinite geometric ratio series with the given sum and first term? for example: sum=4 first term=7

### maths

Sorry the full question is: If the third term of a of a geometric sequence is 7, and the 7th term is 16.807, what is the common ratio?

### Math

1. Find the 11th term of the geometric sequence 64, -32, 16, -8, … . 2. Find the 1st term of a geometric sequence with a 10th term -1024 and r = -2. 3. Find the sum of each infinite geometric series, if possible. a. 10 + 2 + 2/5 + ..... b. 1.2 – 2.4 + 4.8 – 9.6 + ..... c...

### Algebra

The first element of a geometric sequence is 1 and the common ratio is 3; determine the smallest 4 digit numeral that represents an element of this geometric sequence

### Geomatic Sequence

In a geomatic sequence, the 7th term exceeds the 5th term by 48. Find the first term if the common ratio is 2.

### Math Algebra

The first term of a geometric progression is more than the third term by 12. The fourth term is more than the second term by 4. Find: i.the first term a and the common ratio r. ii. the n'th term of the progression.

### math

What are the following symbols used in math sequences: a sub i, n, N? ai is the ith element of the sequence n is the value of i in the term you are refering to. For instance, 3,4,5,6 a3 is 5. That term corresponds to n=3 N is the number of terms in the sequence.

### Alg 2/trig

I am doing Geometric sequences, but I cannot figure out how to find the Nth term of a geometric sequence. The problem is A1 = 64, Ak+1 = 1/2Ak (That is supposed to be A sub one, A sub k + 1, etc.) The formula for finding the equation is: An = A1 x R^n-1 The answer is: An = 128...

### Math

1. Find the sum of the first five terms of the sequence 2/3, 2, 6, 18, ..... My answer is 242. Am I right? 2. Which of these two sequences form a geometric sequence: 2x, 4x-2, 6x-4, ..... OR x+1, 2x+2, 5x+1, .....? Find the value/s of x and what is the sequenced formed? I ...

### Mathematics

The second and fifth terms of a geometric progression (g.p) are 1 and 8 respectively. Find the common ratio,first term, and the eight term.

### Maths

The first term of an arithmetic sequence is 2. The first, third and eleventh terms are the first three terms of a geometric sequence. Determine the seventh term of the geometric sequence

### math

5. In a geometric sequence, the sum of the first five terms is 44 and the sum of the next five terms is -11/8. Find the common ratio and first term of the series.