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 2021-02-11 Answered
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+...
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Arnold Odonnell
Answered 2021-02-12 Author has 109 answers
In the given infinite series, find the term of the series a1,a2 and an
The terms of the series is given as:
a1=212+1
a2=122+1
a3=232+1
Here we can see that 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
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Jeffrey Jordon
Answered 2021-12-16 Author has 2064 answers

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