Find a formula for the general term anan (not the partial sum) of the infinite series. Assume the infinite series begins at n=1. frac{2}{1^2+1}+frac{1}{2^2+1}+frac{2}{3^2+1}+frac{1}{4^2+1}+...

chillywilly12a

chillywilly12a

Answered question

2021-02-11

Find a formula for the general term anan (not the partial sum) of the infinite series. Assume the infinite series begins at n=1.
212+1+122+1+232+1+142+1+...

Answer & Explanation

Arnold Odonnell

Arnold Odonnell

Skilled2021-02-12Added 109 answers

The terms of the series
a1=212+1 
a2=122+1 
a3=232+1 
Denominator of each term of the series is represented as (n2+1)
The numerator of the series is the repetition of 2,1,2,1… 
Let the terms of the series is calculated as: 
when n is odd then k=2 
when n is even then k=1

Jeffrey Jordon

Jeffrey Jordon

Expert2021-12-16Added 2605 answers

Answer is given below (on video)

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?