SOLUTION: A G.P has the second term as 9 and the fourth term is as 81.find the some of the first four term?

Algebra.Com
Question 1191585: A G.P has the second term as 9 and the fourth term is as 81.find the some of the first four term?
Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


The 4th term 81 is the 3nd term 9, multiplied by the common ratio twice:



or

There are two possible answers to the problem.

(1) r=3; the first four terms are 3, 9, 27, 81; sum 120
(2) r=-3; the first four terms are -3,9,-27, 81; sum 60


RELATED QUESTIONS

A GP has the second term as 9 and the fourth term as 81,find the sum of the list as the... (answered by Fombitz)
The second term of an exponential sequence is 9 while the fourth term is 81. Find the... (answered by ikleyn)
A G. P is such that the third term is nine times the first term, while the second term (answered by greenestamps)
A geometric sequence has a second term of 6 and the sum of the first 3 term is -14. Find (answered by Edwin McCravy)
A G.p is such that the third term is 9 times the first term, while the second term is... (answered by greenestamps)
The second term of an exponential sequence is 9 while the 4th term is 81. Find the common (answered by ikleyn)
The first term of a geometric sequence is 9 and the third term is 4. Find the possible... (answered by fcabanski)
the fourth term of a proportion is 13 more than its first term. Writd the proportion if... (answered by josgarithmetic)
The fourth term of a proportion is 7 more than its first term. Write the proportion if... (answered by tommyt3rd)