Chapter 12.5, Problem 1CFU

To determine

To find a counterexample to the given statement.

Explanation of Solution

Given information:

Statement is : The summation notation used to represent a series is unique.

Let us take a series,

4 + 8 + 16 + 32

Now this can be written as,

  ${\displaystyle \sum _{n=2}^5{2}^n}$

Also the given series can be written as,

  ${\displaystyle \sum _{n=1}^4{2}^{n+1}}$

Therefore we can say that the summation notation use to represent a series is not unique.