SOLUTION: In a geometric sequence, the common ratio is -5. The sum of the first 3 terms is 147.What is the value of the first term in the sequence?

Algebra.Com
Question 1115161: In a geometric sequence, the common ratio is -5. The sum of the first 3 terms is 147.What is the value of the first term in the sequence?
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
In a geometric sequence, the common ratio is -5. The sum of the first 3 terms is 147.What is the value of the first term in the sequence?
--------
a + ar + ar^2 = 147
a(1+r+r^2) = 147
a(1-5+25) = 147
a = 147/21
a = 7
-------------
Cheers,
Stan H.
---------

RELATED QUESTIONS

In the geometric sequence, the common ratio is -5 and the sum of the first three terms is (answered by josgarithmetic)
In a geometric sequence, the sum of the fourth term to the sixth term is 1\3 the sum of... (answered by KMST)
The common ratio of a geometric series is 1/3 and the sum of the first 5 terms is 121.... (answered by richwmiller)
1. In geometric sequence,the 2nd term is 2 and the 6th term is 2/81.Find the common... (answered by KMST)
Find the sum of the terms of a geometric sequence where the first term is 4, the last... (answered by MathLover1,ikleyn)
The first term of a geometric sequence is 3. The sum of the first three terms is 129.... (answered by AnlytcPhil)
The sum of the first tow terms of a geometric sequence is 100 time the first term. What... (answered by ikleyn)
the fifth term of a geometric sequence is 252 and the common ratio is 0.5 find the first... (answered by josgarithmetic,MathTherapy)
The first two terms of a geometric sequence and an arithmetic sequence are the same. The... (answered by Edwin McCravy)