SOLUTION: Find the sum of n terms of a G.P. whose nth term is 3(2)^n-1

Question 1114197: Find the sum of n terms of a G.P. whose nth term is 3(2)^n-1
Found 2 solutions by amalm06, ikleyn:
Answer by amalm06(224)   (Show Source): You can put this solution on YOUR website!
|r|=3/2 > 1, so the series diverges
Answer by ikleyn(52790)   (Show Source): You can put this solution on YOUR website!
.
Find the sum of n terms of a G.P. whose nth term is 3*2^(n-1).
~~~~~~~~~~~~~

            Notice that I edited your post to make it UNAMBIGUOUS.

The geometric progression is 3, 6, 12, 24, . . . The first term is = 3 and the common ratio is r = 2. Apply the general formula for the first n terms of an geometric progression = = = . Answer. The sum of the first n terms of the given progression is = .

----------------
On geometric progressions, see introductory lessons in this site
    - Geometric progressions
    - The proofs of the formulas for geometric progressions
    - Problems on geometric progressions
    - Word problems on geometric progressions

Also, you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Geometric progressions".

Save the link to this textbook together with its description

Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson

into your archive and use when it is needed.

RELATED QUESTIONS
The sum of the first n terms of a series is 2n^2−n. Find the nth... (answered by ikleyn)
Write the first six terms of the sequence whose nth term is given as; a^n = (-1)n / (answered by stanbon)
Write the first six terms of each of the sequences whose nth term is n/2[(-1)^n +... (answered by ewatrrr)
find the first five terms of the sequence whose nth term is give as follows: n^2 + n (answered by Fombitz)
Sn is the sum of the first n terms of a series given by Sn=n^2-1. Find the nth... (answered by greenestamps)
The nth term of a G.P. is 2x3^n for all n. Find (a) the first term (b) the common ratio... (answered by mananth)
1. The nth term of a sequence is given by the formula: n/2(3n^2+1), find the 6th terms. (answered by mananth,greenestamps,Edwin McCravy)
the sum of the first n terms of a series is 2n^-n find the nth... (answered by Edwin McCravy)
Write the first six terms of each of the sequences whose nth term is (-1)^n(n)... (answered by KMST)