# The first term in the sequence is -2 and the fifth term is -1/8 what is the common ratio

18,496 results

1. ### 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 ...
2. ### 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 ...
3. ### 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...
4. ### 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.
5. ### Math

3,5,-5... The first term in the sequence of #'s shown above is 3. Each even # term is 2 more than the previous term and each odd # term, after the first, is -1 times the previous term. For example, the second term is 3+2, and the third term is (-1)x5. What is the 55th term of ...
6. ### 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 ...
7. ### further maths

If 5th term of an exponential sequence is greater than the 4th term by thirteen and half and the 4th term is greater than the 3rd term by 9,find the common ratio and the 1st term
8. ### 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
9. ### 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
10. ### 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
11. ### Algebra

True or False 1. – 5, – 5, – 5, – 5, – 5, … is an arithmetic sequence. 2. In an arithmetic sequence, it is possible that the 13th term is equal to its 53rd term. 3. In an arithmetic sequence, the common difference is computed by subtracting the first term from the ...
12. ### 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 ...
13. ### 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 ...
14. ### 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 ...
15. ### 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 ...
16. ### math

The 3rd term in an arithmetic sequence is 12, the 7th term is 24, a) How many common differences are there between a_3 and a_7? b) What is the common difference of the sequence? c) What is the first term in the sequence? a_1 d) What is the expression for this arithmetic sequence?
17. ### 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?
18. ### 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.
19. ### math

find the rule for the Nth term of the arithmetic sequence. 11/2, 25/6, 17/6, 3/2, 1/6..... If you change the denomators to 6, you should notice the numerators follow the sequence: 33,25,17,9,1,...which is an arithmetic sequence with a common difference of -8 so term(n) = -8n...
20. ### 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?
21. ### 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 ...
22. ### Math

The fourth term of an arithmetic sequence is less than the fifth term by 3. The seventh term is three times the fifth term. Find the common difference and the first term
23. ### Math

1. Find the common ratio and 9th term of the sequence 6, -3, 3/2, -3/4, ..... 2. Find the 7th term of the sequence: 2, 6, 18, 54, ..... 3. Find the 11th term of the sequence 1, -1/2, 1/4, -1/8, .....
24. ### Math

The fifth term of an exponential sequence is greater than the fourth term by 27/2 and the fourth term is greater than the third term by 9. Find the first term and the common ratio
25. ### 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 ...
26. ### 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.
27. ### 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...
28. ### Alg2

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

The first term of a geometric sequence is -2 and the common ratio is 3. What is the 12th term of the sequence?
30. ### 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...
31. ### 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...
32. ### Arithmetic Sequence

Given the third term of an arithmetic sequence less than the fourth term by three. The seventh term is two times the fifth term. Find the common difference and the first term.
33. ### geometric progression

the 3rd term of a gpis 10 and the 6th term is 80 find the common ratio No2 if the 2nd term of a gp is 4 and the 5th term is 1over 16,the7th term is_
34. ### Maths

The sixth term of GP is 16 and the third term is 2.Find the first term and common ratio. 6th term =16 3rd term=2 So ar^5=16 and ar^2=2, then divide. So r^3=8, and r^3 =2^3. Therefore r =2 and a=1/2
35. ### 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 ...
36. ### math

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

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

Find the 8th term of an exponential sequence whose first term is 3 and whose common ratio is 2
39. ### Algebra1

Determine 3rd term in the geometric sequence whose first term is -8 and whose common ratio is 6
40. ### Algebra1

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

find the 25th term of a geometric sequence having a common ratio r=1/4 and term a=3
42. ### math-algebra 1

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

The 8th term of a linear sequence is 18th and 12th term is 26.find the first term and the common difference and 2th term
44. ### 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 =
45. ### Further maths

The 8th term of a linear sequence is 18th and the 12th term is 26th .find the first term,common difference and the 20th term
46. ### FURTHER MATHS

The 8th term of a linear sequence is 18 and 12th term is 26.find the first term,common difference and 20th term
47. ### 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?
48. ### Math

If the 16th term of an arithmetic sequence is three times the fourth term, find the ratio of the 23rd term to the third term.
49. ### 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?
50. ### mathematics

1.1 the third term of an arithmetic sequence is 8 and the 15 term is 44 . Calculate: 1.1 the common difference and first term. 1.2 the sum of the first 50 terms. 1.2 1;4;7;10.... Is an arithmetic sequence .find: 1.2.1 the 30 term.
51. ### 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 ...
52. ### 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 =
53. ### math

still need help: 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 term in the sequence
54. ### Precalculus

The 8th term in an arithmetic sequence is 5, and the sum of the first 10 terms is 20. Find the common difference and the first term of the sequence. Alright so in an arithmetic squence the difference d between any two successive numbers is constant. So if the first term is x, ...

what is the fibonacci sequence and what is its relationship to the golden ratio? http://www.google.com/search?q=fibonacci+golden+ratio&start=0&ie=utf-8&oe=utf-8&client=firefox-a&rls=org.mozilla:en-US:official Many websites here that can help you -- especially the very first ...
56. ### Algebra

The first term in the sequence is -2 and the fifth term is -1/8 what is the common ratio
57. ### 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.
58. ### 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.
59. ### 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.
60. ### arithmetic sequence

the 40th term of an arithmetic sequence is equal to the sum of the 20th and 31st term. if the common difference of the sequence is-10. find the first term.
61. ### 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 ...
62. ### Mathematics : Arithmetic Sequence

The 5th term and the 8th term of an arithmetic sequence are 18 and 27 respctively. a)Find the 1st term and the common difference of the arithmetic sequence. b)Find the general term of the arithmetic sequence.
63. ### 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...
64. ### 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.
65. ### math

The third,fourth and eight term of A.P form first three consecutive term of G.P.if the sum of the first ten term of A.P is 85.calculate the first term of both A.P and G.P,common ratio and sum of 5 term of G.P
66. ### math

The third,fourth and eight term of A.P form first three consecutive term of G.P.if the sum of the first ten term of A.P is 85.calculate the first term of both A.P and G.P,common ratio and sum of 5 term of G.P
67. ### 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
68. ### 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.
69. ### Geometric Sequence

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

The second term of a G.P is 12 more than the first term,given that the common ratio is half of the first term.find the fourt term of the G.P.
71. ### MATH

In an arithmetic sequence, the first term is 100 and the sixth term is 85. Find the common difference. Then, find the 50th term of the sequence. Do I use the formula an=a1+(n-1)d? If so, what would my "n" by in the equation?
72. ### mathematics

the 10th term of an arithmetic sequence is equal to the sum of 40 and 5th term.If the 15th term is 127 what is its common difference?what is its first term?what is the sum of the first 30 terms.
73. ### math

Each term in a sequence of numbers, except for the 1st term, is 2 less than the square root of the previous term.If the 3rd term of this sequence is 1, what is the first term?
74. ### Math

1. Find the 12th term of the arithmetic sequence 2, 6, 10, … . 2. Solve for the 101st term of the sequence whose 1st term is x-y and d=2x+y-3. 3. In the sequence 2, 6, 10, … , what term has a value of 106?
75. ### math

I can't solve this one: The second term of an arithmetic sequence is 24 and the fifth term is 3.Find the first term and the common difference. How could I get the answers if there's only two given numbers?
76. ### Math

For the arithmetic sequence with given first term 4 and common difference 4: its nth term is __________ its 10-th term is ________
77. ### 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?
78. ### MATH

Find the value of A + B if the A is the first term and B is the common difference of the sequence whose 4th term is 3 and 20th term is 35
79. ### math

The first term of an arithmetic sequence is 2.The 12th term in the progression is 9 times bigger than the 2nd term. Find the common difference d.
80. ### Precalculus

1. In an arithmetic sequence, the fifth term, u5, is greater than the first term, u1. The difference between these terms is 36. a) find the common difference 9? The tenth term of the sequence is double the seventh term . b) find u1 2.5? 2. Consider the function f(x) = ax^3 -3x...
81. ### 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?
82. ### 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
83. ### ahisco

In an A.P the difference between the 8th term and 4th term is 20 and the 8th term is 1half timesthe fourth term. what is the common difference and the first term of the sequence
84. ### algebra

The second term of an arithmetic sequence is 24 and the fifth term is 3.Find the first term and the common difference.

Write the first four terms of the sequence that begins with 5000 and decays 15% with each term. What is the common ratio? I found that that common ratio is .85 but I'm confused on how yyou would get that?
86. ### math

what are the similarities and differences between an arithmetic sequence and a linear equation? ok i know that arithmetic sequence is a sequence of real numbers for which each term is the previous term plus a constant (called the common difference). For example, starting with ...
87. ### Urgent math

how do I do this can any body show me how? An arithmetic sequence begins 4, 9, 14, 19, 24, . . . . (a) Find the common difference d for this sequence. d = (b) Find a formula for the nth term an of the sequence. an = (c) Find the 35th term of the sequence. a35 =
88. ### Algebra I

What is the 2011th term of the arithmetic sequence −4, −1, 2, 5, . . . , where each term after the first is 3 more than the preceding term?( remember -4 is the first term of the sequence.) (I posted this before but it was the wrong answer)
89. ### komenco

the first, second, and fifth term of an AP are three consecutive terms of an exponential sequence. if the first term of the linear sequence is 7 ,find it common difference
90. ### core mathematics

The first term of an AP is-8. The ratio of the 7th term to the 9th term is 5:8. Calculate the common difference of the progression.
91. ### Maths

the second term of a GP is 36 more than the first term. The difference between the 4th and the 3rd terms is 900. Calculate the common ratio and the first term of the GP
92. ### math

The fourth term of a GP is 6 and the seventh term is -48,calculate (a)common ratio (b)first term(c)sum of the first eleven terms
93. ### f/math

the common ratio of a g.p is 2.if the 5th term is greater than the first term by 45, find the 5tth term
94. ### math

The first term of an AP is 8. The ratio of d 11th term to the 7th term is 5:8 calculate the common difference
95. ### Math

The 2nd and 5th term of a.p are -7 and 56 respectively find the first term. The common ratio. The sum of the five term
96. ### Math

The third term of a geometric series is 24 and the fourth term is 36. Determine the first term and common ratio.
97. ### pre-calculus urgent

The first term of an arithmetic sequence is 6, and the tenth term is 2. (a) Find the common difference d. d = Find the 100th term of the sequence. a100 = (b) Find the partial sum of the first ten terms. S10 = how do i do this, there's an example I tried following but it did ...
98. ### math ( sequence )

A sequence is generated in which each term is 5 less than the previous term. If the twentieth term is -32, what is the fifteenth term ? a. -57 b. -12 c. -7 d. 2 e. 7 please answer and explain
99. ### algebra

the first term of a sequence of numbers is 1. if each term after the first is the product of -2 and the preceding term, what is the 6th term of the sequence? How do I approach this problem?
100. ### math-algebra

14. The last term of an arithmetic sequence is 207, the common difference is 3, and the number of terms is 14. What is the first term of the sequence?: A. 165 B. 171 C. 249 D. 168 Please explain. thanks