Chapter 3, Problem 23P

Use MATLAB to show that the sum of the infinite series ${\displaystyle \underset{n=1}{\overset{\infty }{\sum }}\frac{n^2}{2^n}}$ converges to 6. Do this by computing the sum for

(a) n=5, (b) n=15, (c) n=30

For each part, create a vector n in which the first element is I. the increment I I and the last term is 5. 15. or 30. Then use element-by-element calculations to create a vector in which the elements are $\frac{n^2}{2^n}$. Finally, use MATLA B’s built-in function sum to sum the series. Use format long to display the numbers.