Search for question
Question

3. For each of the following series write down the first 4 terms of the sequence of partialsums, determine whether the series converges or diverges and, if it converges, find itssum. \text { a) } \sum_{n=1}^{\infty} \frac{n^{2}}{(4 n-3)(4 n+1)} \text {, } \text { (b) } \sum_{n=1}^{\infty} \frac{1}{(4 n-3)(4 n+1)} \text {. }

Fig: 1

Fig: 2

Fig: 3