Q. 1 - Calculus

Question

Notation: Describe the meanings of each of the following mathematical expressions or how they are commonly used in this chapter:

$\sum _{k=m}^n{a}_k$

Step-by-Step Solution

Answer

The definition of given expression is,

If $a_k$ is a function of k, and m and n are nonnegative integers with $m \le n$, then

$\sum _{k=m}^n{a}_k=a_m+a_{m+1}+a_{m+2}+\cdots +a_{n-1}+a_n.$

Step 1. Given information.

We are given an expression,

$\sum _{k=m}^n{a}_k$

Step 2. Defining the expression

The definition is,

If $a_k$ is a function of k, and m and n are nonnegative integers with $m \le n$, then

$\sum _{k=m}^n{a}_k=a_m+a_{m+1}+a_{m+2}+\cdots +a_{n-1}+a_n.$