Chapter 5
5.5.2 Sum of N Terms of a Arithmetic Progression
Instructions: Use the following tutorial to help
introduce or reinforce the concept of the Sum of N Terms of a Arithmetic Progression.
Read through the introduction, then study and familiarize
yourself with the definitions of terms. Next, use
the incremental calculator to study each step of
the process of determining the Sum of N Terms of a Arithmetic Progression.
Finally,
use the calculator for examples to quiz yourself.
An arithmetic progression is a
sequence or pattern of numbers in which each term is
calculated by adding or subtracting d to
the previous number. The sum of
n terms of an arithmetic progression is
obtained by using first term a
and the common difference d
in this equation:
n/2[2a+(n-1)d]
An example of this problem is to take the
sequence 2,4,6,8... and finding the 10th
term. a= 2, n= 10, and d= 2. (10/2)[4+(10-1)2]=5[4+(9)2]=5[4+18]=110.
Thus the sum of the first 10 terms is 110.
Table of Contents:
Definitions
Incremental Calculator
Calculator
Chapter 5