SOLUTION: The 2 and 5 terms of a gp are 7 and 56 when the common ratio is 2 and the first term is 7/2 find the sum of the first five terms

Algebra.Com
Question 1128011: The 2 and 5 terms of a gp are 7 and 56 when the common ratio is 2 and the first term is 7/2 find the sum of the first five terms
Answer by ikleyn(52790)   (Show Source): You can put this solution on YOUR website!
.
You are given the first term of a GP (7/2) and the common ratio (2).


It is enough to find the sum of the first five terms, if you know the standard formula.


The rest of the info is IRRELEVANT and serves only to confuse the reader and to check if he (or she) knows the subject firmly.

-------------

If you don't know the standard formula for the sum of the first n terms of a geometric progression,  then learn it from the lessons
    - Geometric progressions
    - The proofs of the formulas for geometric progressions
    - Problems on geometric progressions
    - Word problems on geometric progressions
in this site.

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

A gp has 8 terms.its first and last term are 0.3 and 38.4 and its common ratio is 2 find... (answered by ikleyn)
The sum of first four terms of GP is 30 and that of the last four terms is 960. If the... (answered by ikleyn)
The first and 3rd terms of a GP are 2 and 1/9,respectively. Find: a) the common ratio... (answered by josgarithmetic)
The sum of an infinite gp is 36/7 its common ratio is -2/3. Find its first... (answered by MathLover1)
If the third term of a GP is 36 and the 6th term is 243/2 find the first term,the common... (answered by richwmiller)
If the third term of a GP is 36 and the 6th term is 243/2 find the first term,the common... (answered by richwmiller)
If the sums of the first three terms of an AP and a GP are equal and non-zero, the... (answered by greenestamps,ikleyn)
The first four terms of gp is 30 and that of the last four term is 960 if the first... (answered by ikleyn)
The 5th term of a GP is 8, the third term is 4, and the sum of the first ten terms is... (answered by MathLover1,ikleyn,greenestamps)