Write a rule for the nth term of the geometric sequence and then find a_5 given a_1=17,r=−2

Aryanna Blake

Aryanna Blake

Answered question

2022-10-13

Write a rule for the nth term of the geometric sequence and then find a 5 given a 1 =17,r=−2

Answer & Explanation

jbaekk7q

jbaekk7q

Beginner2022-10-14Added 18 answers

In the Usual Notation for Geo. Seq.,
a n = a 1 r n - 1 , n .
With, a 1 = 17 , and , r = - 2 , we have,
a n = 17 ( - 2 ) n - 1 , n .
Accordingly, a 5 = 17 ( - 2 ) 5 - 1 = ( 17 ) ( 16 ) = 272 .

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?