To calculate: The total number of terms in an arithmetic series.
There are 7 terms in the arithmetic series with starting term as 123 and the common difference as 12 so the total sum is 1113.
Given:
The first term of the arithmetic series
The common difference
The sum of all terms in arithmetic series is
Formula used:
The sum of n terms of an arithmetic series with
Calculation:
The values are plugged in the formula to calculate the value of n as shown below
The quadratic equation in form of
Using this formula the values of n are calculated as shown below
The number of terms in an arithmetic series cannot be negative, thus the total number of terms in given arithmetic series are 7. Option A is correct.
Chapter 11 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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