SOLUTION: The first term of a geometric sequence is -4 and the common ratio is -3.
(a) What is the tenth term of the sequence?
(b) What is the sum of the first 10 terms?
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(a) What is the tenth term of the sequence?
(b) What is the sum of the first 10 terms?
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Question 1095278: The first term of a geometric sequence is -4 and the common ratio is -3.
(a) What is the tenth term of the sequence?
(b) What is the sum of the first 10 terms?
--For question (a) I got 78,732. How do I find the answer to question (b)? Answer by ikleyn(52943) (Show Source):
The n-th term of ANY geometric progression with the first term "a" and the common ratio "r" is
= .
So, in your case = = 78732.
Thus your answer is correct.
The sum of the first n-th terms of ANY geometric progression with the first term "a" and the common ratio "r" is
= .
So, substitute your values and calculate.
