Concept explainers
Poles in a Pile Telephone poles are being stored in a pile with 25 poles in the first layer, 24 in the second, and so on. If there are 12 layers, how many telephone poles does the pile contain?
To find: The total number of telephone poles in the pile.
Answer to Problem 62E
The total number of telephone poles in the pile is 234.
Explanation of Solution
Given:
First layer contains 25 poles.
Second layer contains 24 poles.
Total layers are 12.
Formulas used:
The nth partial sum of an arithmetic sequence is,
Calculation:
The lower most layer is the first layer that contains 25 poles.
So, first term of an arithmetic progression is 25.
The second layer contains 24 poles, so, the common difference is calculated by,
And total layers are 12, so, value of n is 12.
Substitute all the values in the formula above to find the total number of poles,
Thus, the total number of telephone poles in the pile is 234.
Chapter 12 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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