The sum of the first and second terms of an A.P us 4 and the 10th term is 19. Find the sum of the 5th and 6th terms
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maths
The 6th term of an A.P is twice the third and the first term is 3. Find the common difference and the 10th term and find the sum of the 1st 10 terms

Maths
The sum of 1st five terms of an AP nd the sum of the 1st seven termd of the same AP is 167. If the sum of the 1st ten terms of this AP is 235, find the sum of its1st twenty terms

math
The sum of the first 20 terms of an arithmetic series is identical to the sum of the first 22 terms. If the common difference is 2, find the first term.

Maths
A geometric series has three terms. The sum of the three terms is 42. The third term is 3.2 times the sum of the other two. What are the terms?

math
The first and second terms of an exponential sequence (G.P) are respectively the first and third terms of a linear sequence (A.P). The fourth term of the linear sequence is 10 and sum of its first five terms is 60. find (a) the first five terms of the

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.

MathGr.11 urgent
The 10th term of an arithmetic series is 34, and the sum of the first 20 terms is 710. Determine the 25th term. Can someone please explain how to do this? I don't know which formula to use. TIA

mathematics
1} the first term of an AP is 2 and the common difference is 3.Find the sum of the first 11 terms. 2}The 2nd and 5th terms of a GP are 6 and 48 respectively.Find the sum of the first four terms

Maths
the first three terms of an ap are x, (3x +1) and (7x 4). Find the value x and 10th term

arithmetic progression
An arithmetic progression has 3 as its first term. Also, the sum of the first 8 terms is twice the sum of the first 5 terms. Find the common difference.

Math
The sum of the first 21 terms of a linear sequence is 28 and the sum of the first 28 terms is 21 . find which term of the sequence is 0 and also the sum of the terms preceeding it

Mathematics
if the sum of the 3rd and 8th terms of an ap is 7 and the sum of 7th and 14th term is 3 ,find of 10th term

maths
The sum of first 20 terms of an AP is equal to the sum of first 30 terms .Show that the sum of 50 terms of an AP is 0.

10th math
The sum of the 4th and 8th terms of an AP is 24 and the sum of the 6th and 10th terms is 44. Find the first three terms of AP

math
the 10th term of an arithmetic series is 34, and the sum of the first 20 terms is 710, determine the 25th term.

Community technical college
Given that 1st term of an A.P is 7 and it's 10th term is twice the second term,calculate the (a) 19th term (b)sum of 28 terms (c) difference between 9th and 6th terms

Mathematics
The sum of the 1st and 2nd terms of an AP is 4 and the 10th term is 19. Find the sum of the 5th and 6th terms

Kwara State Polytechnic, Ilorin
The 10th, 4th and 1st terms of an AP are the three consecutive terms of a GP. find the common ratio of the GP and the sum of the 1st six terms, taking the 1st term of the AP to be 4?

math
If the sum of first four terms of GP is 30, sum of last four terms of GP is 960 and first term is 2 then find common ratio.

maths
The sum of the first two term of a g.p is x and the sum is of the last two terms is y. If there are n terms in all. Find the common ratio

Math
The 10th term of an arithmetic series is 34, and the sum of the first 20 terms is 710. Determine the 25th term.

Math
The sum of 16 terms of an AP is 504,while the sum of its 9 terms is 126.find the sum of its 30 terms

Math
Given a geometric progression whose common ratio is 2, if the sum of the 6th to 7th terms is 288, determine the sum of the 4th to 15th terms inclusive.

Maths
The 10th term of an Arithmetic Progressions is 27 and the 5th term is 12, what is the 18th term? Find also the sum of its 25 terms.

Math
the 8th terms of a geometry progression is 640. if the first term is 5, find the common ratio and the 10th terms?

arithmetic
find the common difference of A.P whose first term is 5 and the sum of its first 4 terms is half the sum of next 4 terms

Maths
The sum of the last three terms of a G.P having n terms is 1024 times the sum of the first three terms of the progression. If the third term is 5, find the last term.

math
the sum of the first four terms of a geometry series is 15 and the sum of the next 4 terms is 240.determine the positive constant ratio.

Math
The sums of n terms of two arithmetic series are in ratio of 2n+1:2n1. Find the ratio of their 10th terms.

math
The sum of the first 9 terms of an arithmetic series is 144, and the sum of the first 14 terms is 329. Find the first 4 terms of the series.

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

Geometric
1) The sum of last three terms of GP having n terms is 1024 time the sume of first 3 terms of GP. If 3rd term is 5. Find the last term. 2) The sum of the first eight terms of a GP is five times the sum of the first four terms. Find the common ratio.

maths
the sum of the 4th and 6th terms of an A.P is 42. the sum of the 3rd and 9th terms of the progression is 52. find the first term, the common difference and the sum of the first ten terms of the progression.

Math
The sum of the first and fourth terms of an arithimetic sequences is 2 and the sum of their squares is 20 1. Find the common difference 2.find the sum of the first eight terms of the squence

math
An arithmetic series is such that the 10th term is 40 and the sum of the first 10 terms is 265. Find the sum of the first 20 terms.

maths
the sum of 3rd and 5th terms of an a.p is 38 and sum of 7th and 10th terms of an a.p is 83,find the a.p. please help all questions please help please.

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.

Math
Given that the 7th term of AP is 3 greater than the 5th term,the sum of the 10th term and 3th term is 45, calculate,20th term,8 term and the sum of the first five terms?.

Further mathematics
An exponential sequence of positive terms and a linear sequence have the same first term.the sum of their first terms is 3 the sum of their second terms is 3/2,and the sum of their third terms is 6.find their fifth terms.

C++
Write a MAIN function and a FUNCTION to compute the sum of the below series. ((1)^(n+1)*n!)/(n*n) (from n=1 to infinity) Within the MAIN function: . Read a variable EPSILON of type DOUBLE (desired accuracy) from the standard input. EPSILON is an extremely

Further mathematics
An exponential sequence of positive terms and a linear sequence have the same first terms.the sum of their second terms is 3/2 and the sum of their third terms is 6.find their fifth terms.

Maths
The sum of first 7 terms of an ap is equal to the sum of its first 13 terms . find the sum of its ist 20 terms

arithmetic
the sum of the 3rd and the 4th term is 44 and the sum of the 10th and the 15th term is 203. what is the sum up to the 20th term?

English
1. What day is your birthday?  It is June 14th.  It is the second Monday. 2. When is your birthday?  It's this Friday.  It is on January 10th.  It is January 10th. 3. What date is your birthday?  It is January 10th.  It is on January 10th.

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

math
the sum of 8th terms of an AP is 549 while the common difference is 3. find the 56th term and the sum of it's 32 terms

Math....Please help I have a deadline for tonight!
Use the geometric sequence of numbers 1, 1/3, 1/9 , 1/27… to find the following: b) Using the formula for the sum of the first n terms of a geometric series, what is the sum of the first 10 terms? Carry all calculations to 6 decimals on all assignments.

arithmetic progression
If sum of first 21 terms of an arithmetic progression is 13 and that of first 13 terms is 21, show that sum of first 34 terms is 34 ?

mathe
the sum of the first 16th terms of an a.p is 240 and the sum of the next 4 terms is 220,find the first term

Math
The sum of the first and second terms of an A.P us 4 and the 10th term is 19. Find the sum of the 5th and 6th terms.

mathematics
The sum of first and the second terms of an ap is 4 and the 10th is 19.find the sum of the 5th and 6th terms.

Math
The sum of the 4th and 6th terms of an AP is 42. The sum of the 3rd and the 9th term of progression is 52, find the first term and the common difference of the sum of the 1st, 10th terms of the progression

math
The second and sixth terms of an arithmetic sequence is 2:5 and their sum is 28. Find the sum of the first 10th term.

Maths
John wants to calculate the sum of a geometric series with 10 terms, where the 10th term is 5 859 37... ... series with 10 terms, where the 10th term is 5 859 375 and the common ration is 5/3. John solved the problem by considering another ... show more

Algebra
Given a1=28,an=77 and Sn=196 in an A.P, find the 10th term and the sum of the first 10 terms.

Math (11)
The sum of the first 16 terms of an arithmetic sequence is 23 times the sum of the first 4 terms. Find the 10th term of the sequence if the first term is 2

Mathematics
If the sum of 3th and 8th terms of an A.p is 7 and the sum of 7th and 14th term is 3,find the 10th term .

math
The 5th and 10th terms of A. P are  12 and 27 respectively. Find the A. P and its 15th term. (B) The first three terms of an A. P are x and the 10th term.

Further mathematics
An exponential sequence (GP)of positive terms and a linear sequence (AP)have the same first term.the sum of their first terms is 3,the sum of their second terms is 3 and the sum of their third terms is 6. Find the sum of their fifth terms

Math
Sum of4th and the 6th terms of an a,p is 42 . While the sum of the 3rd and 9th terms of the same a.p is 52. Find the (a) first term (b)common difference (c) sum of the first ten terms of the progression. Solution

Alg !
What is the sum of the first 4 terms of the arithmetic sequence in which the 6th term is 8 and the 10th term is 13?

algebra 2
An arithmetic progression has 5 terms that have a sum of 200. The sum of the last three terms added to 6 times the sum of the first two terms equals zero. What is the first term?

Math3c
1.Find an A.P. such that the sum of the first three terms is one half the sum of the next four terms,the first term being 12. 2.In an A.P.,the sum of the first three terms is 18,and the sum of the squares of these terms is 126.Find the terms.

math
The no of terms in an AP is 40 and the last is 54,given that the sum of the 15 terms added to the sum of the first 30 terms is zero.calculate(1)the first term and common difference.(2)sum of progression

Maths
The sum of 1st five terms of an AP nd the sum of the 1st seven termd of the same AP is 167. If the sum of the 1st ten terms of this AP is 235, find the sum of its1st twenty terms

Day secondary school kataeregi
The first and last terms of an a.p are 79 and 5 and it's sum is 814 find(a) the number of terms in the a.p(b)the common different between them.(c) the 9th terms is of an a.p is 52, while the 12th terms is 70 find the sum of it's 20th terms.

Mathematics
Given that the first term of an AP is 7and it's 10th term is twice the second term.calculate the sum of it's 28th terms and the difference between the 9th and 6th term.

maths
An arithmetic progression has 10 terms. Sum of the 10 terms is 220. Sum of the odd terms is 100. Find the first term and common difference. pl give me the answer.

Math
An arithmetic progression has 10 terms. Sum of the 10 terms is 220. Sum of the odd terms is 100. Find the first term and common difference.

math
Hi. I'm having trouble with the summation of n from i=2 of ((2^ni)(2^n)). Any help would be greatly appreciated! the way I am reading the question you have i is going from 2 to n so there will be n1 terms using i = 2,3,4,..,n I get 2^(2n2) + 2^(2n2) +

Algebra
Use the geometric sequence of numbers 1, 1/3, 1/9, 1/27… to find the following: Using the formula for the sum of the first n terms of a geometric series, what is the sum of the first 10 terms? Carry all calculations to 6 decimals on all assignments.

C++
Write a MAIN function and a FUNCTION to compute the sum of the below series. ((1)^(n+1)*n!)/(n*n) (from n=1 to infinity) Within the MAIN function: . Read a variable EPSILON of type DOUBLE (desired accuracy) from the standard input. EPSILON is an extremely

C++
Write a MAIN function and a FUNCTION to compute the sum of the below series. (n!)/(2n+1)! (from n=1 to infinity) Within the MAIN function: . Read a variable EPSILON of type DOUBLE (desired accuracy) from the standard input. EPSILON is an extremely small

math
what is the sum of the 1st 10 terms of the arithmetic series that has a 10th term of 50 and a 1st term of 5

Maths
The first and last terms of an A.p are 10 and 90,if the sum of terms is 750,the number of terms is used to find the common difference if the sum is 1400?

C++
you are right the question is exactly like this... can you help me for this question.... thanks Write a MAIN function and a FUNCTION to compute the sum of the below series. ((1)^(n+1)*n!)/(n^n) (from n=1 to infinity) Within the MAIN function: . Read a

arithmetic
the sum of the 4th and 8th terms is 10, and the sum of the 6th and 12th terms is 22. Find the first three terms.

Precalculus
Find the sum of 20 (summation notation symbol)k=1 then (3k5) If you mean the sum of the first 20 terms, beginning with k=1, of ak = 3k  5, that would be 20 x 5 = 100 PLUS the sum of the first 20 terms of ak = 3k The latter is 3 times the sum of

math
the 10th,4th and 1st term of an A.P are the three consecutive numbers of a G.P and the sum of the 1st 6 terms ;take 4 as the 1st term

Math
In a particular arithmetic progression, the sum of the first 10 terms is equal to the sum of the first twenty terms. Show that the sum of the first 30 terms is equal to 0.

math
The sum of 18 terms of an A.P is 504 while the sum of its 9 terms is 126.Find the sum of its 30 term

math
in a Geometric progression the sum of the first and the second terms is 90 and the sum of the second and the fourth terms is equal to 30.find the sum of the first 8th term in the progression

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

Algebra
Find the sum of the first five terms of an infinite geometric progression with a common ratio r

Math
The sixth term of an arithmetic progression is 265 and the sum of the first 5 terms is 1445. Find the minimum value of n so that the sum of the first n terms is negative.

math
An arithmetic progression has 2 as its first term. find its common difference if the sum of 33 terms is equal to six times the sum of 13 terms

Math
What is the common difference of an arithmetic sequence if the sum of the second and fourth terms is 0, and the sum of the sixth and eighth terms is 12?

Fibonacci Numbers
This is not a test question, but I did not know what the appropriate topic for my question is. If I used the terms 2, 3, 4, 8 consecutive terms of the Fibonacci sequence. "a" is the first and fourth terms and "b" is twice the product of the second and

math sequences and series
how do i solve the sum of the first two terms of an arithmetic sequence is 16. the sum of the second and third term is 28. determine the first three terms, algebraically

sequences and series
how do i solve the sum of the first two terms of an arithmetic sequence is 16. the sum of the second and third term is 28. determine the first three terms, algebraically

arithmetic
The sum of the first 4 terms of an arithmetic series is 8 and the sum of the first 5 terms is 85. Determine the first term and the common difference

Math
the sum of the first n terms of an arithmetic series is 51. the series has a constant difference of 1.5 and a first term of four. Find the number of terms in the sum I find using an EXCEL spreadsheet is very helpful for these types of problems. Start

Math sequence
The sum of the first 5 terms of an arthmetic sequence, is 30 and the sum of the next 4 terms is 69 . Find the arthemetic progression?

math
The sum of first 12 terms of an arithmetic series is 186, and the 20th term is 83. What is the sum of first 40 terms?

Geometric progression
The sum of infinite number of terms of a decreasing G.P is 4 and the sum of the squares of its terms to infinity is 1/3

Maths
The 2nd, 5th, and 14th term Of an AP are consecutive terms of a GP. Given that the sum of the three terms of the AP is 9, find the A, first term and the common difference of the AP. B common ratio of the GP C sum of the first three terms of the GP

Precalculus
The sum of the first two terms of an arithmetic series is 13 and the sum of the four terms is 46. Determine the first six terms of the series and the sum of the first six terms.

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

math
The third term of a G.P is 24 and the sum of the first two terms is 288. If all the terms are positive,find a)the first term and the common ratio b)the sum of all the terms from 4th term to the 8th term

My Retyped Algebra Post
1. Use the arithmetic sequence of numbers 2,4,6,8,10.. to find the following: a)What is d, the difference between any consecutive terms? Answer: Show work in this space: b)Using the formula for the nth term of an arithmetic sequence, what is 101st term?