The sum of the first three terms of geometric sequence is 14. if the first term is 2, find the possible values of the sum of the first 5 terms.

We have a first term of 2 and a common ratio of r. We're told

If r=-3 the fourth term is 2((-3)³) and the fifth 2((-3)^4) for a sum of

14 - 54 + 162 = 122

If r=2 the remaining terms are 2(2^3)=16 and 2(2^4)=32 for a sum of

14 + 16 + 32 = 62

62 or 122

answer: the answer is 127 degrees