Find a_5 \ \text{and} \ a_n for the following

fortdefruitI

fortdefruitI

Answered question

2021-08-17

Find a5 and an for the following geometric sequences.
a1=5, r=7

Answer & Explanation

wheezym

wheezym

Skilled2021-08-18Added 103 answers

For the given geometric sequence
First term (a)=a1=5
Common ratio (r)=-7
We know that the nth term of geometric sequence (an)=arn1
Hence the fifth term (a5)=ar51
a5=ar4=(5)(7)4
=(5)(2401)=12005
Hence a5=12005
The nth term (an)=arn1
an=(5)(7)n1=(1)1+n1(5)(7)n1
5(1)n(7)n01
Hence an=5(1)n(7)n01

Jeffrey Jordon

Jeffrey Jordon

Expert2021-10-23Added 2605 answers

Answer is given below (on video)

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