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 2021-02-11Answered
Find a formula for the general term anan (not the partial sum) of the infinite series. Assume the infinite series begins at n=1.
In the given infinite series, find the term of the series
The terms of the series is given as:
Here we can see that denominator of each term of the series is represented as :
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