Find \(\displaystyle{a}_{{5}}\) and \(\displaystyle{a}_{{n}}\) for the

Tiffany Maldonado

Tiffany Maldonado

Answered question

2022-04-13

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

Answer & Explanation

oanhtih6

oanhtih6

Beginner2022-04-14Added 10 answers

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

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