Chapter 8.2, Problem 10E

a.

To determine

To explain: the difference between ${\displaystyle \sum _{i=1}^n{a}_i}\text{and }{\displaystyle \sum _{j=1}^n{a}_j}$

Answer to Problem 10E

Indexes are different; all the rest is equal between those series.

Explanation of Solution

Given information: Given series are ${\displaystyle \sum _{i=1}^n{a}_i}\text{and }{\displaystyle \sum _{j=1}^n{a}_j}$

Calculation:

Indexes are different; all the rest is equal between those series.

b.

To determine

To explain: the difference between ${\displaystyle \sum _{i=1}^n{a}_i}\text{and }{\displaystyle \sum _{i=1}^n{a}_j}$

Answer to Problem 10E

The first one has $a_i$ , whose value can change as the summation index ichanges .

The second one has $a_j$ , whose value do not really know since have no information about j . $$

Explanation of Solution

Given information:Given series are ${\displaystyle \sum _{i=1}^n{a}_i}\text{and }{\displaystyle \sum _{i=1}^n{a}_j}$

Calculation:

The first one has $a_i$ , whose value can change as the summation index ichanges .

The second one has $a_j$ , whose value do not really know since have no information about j . $$