SOLUTION: The sum of the first three terms of a G.P. is 42 and the fourth term exceeds the first by 42. Find the values of the first term and the common ratio.

SOLUTION: The sum of the first three terms of a G.P. is 42 and the fourth term exceeds the first by 42. Find the values of the first term and the common ratio.

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Question 1132100: The sum of the first three terms of a G.P. is 42 and the fourth term exceeds the first by 42.
Find the values of the first term and the common ratio.
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!

(1)   
(2)

So we have

Common ratio:

First term:
from (1): --> a = 6

Check:
6 + (2)(6) + (4)(6) = 6 + 12 + 24 = 42 (ok)
8(6) - 6 = 48 - 6 = 42 (ok)

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