Question

find the value of summation of (1/(4i - 1)(4i +1)) from i=1 to i= infinite.​

Answer 1

The formula for the sum of an infinite series is related to the formula for the sum of the first n terms of a geometric series. We will examine an infinite series with r = 1 2 \displaystyle r=\frac{1}{2} r=21. What happens to rn as n increases? The value of rn decreases rapidly.