SOLUTION: the tird term of ageometrical progression is 63 and the fifth term is 567.find the sum of the first terms of the progression.

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Question 814154: the tird term of ageometrical progression is 63 and the fifth term is 567.find the sum of the first terms of the progression.
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
r = the ratio between terms
a = initial term of the sequence
a, ar, ar^2, ar^3 would be
a, ar, 63, ar^3, 567.

The way to go from 63 to 567 is 63%2Ar%2Ar=567.
r%5E2=567%2F63
r%5E2=9
highlight%28r=3%29
From this, find that highlight%28a=7%29.

You should be able to finish getting the answer to your question using your lower-level skills from the found values for a and r.