Chapter 4.7, Problem 25PPE

To determine

To find: Whether the pattern of the sequence $10,24,36,52,\dots$ is arithmetic and also determine the common difference.

Answer to Problem 25PPE

No, the pattern of the sequence $10,24,36,52,\dots$ is not arithmetic.

Explanation of Solution

Given:

The sequence is $10,24,36,52,\dots$ .

Calculation:

Subtract the first term from the second term to obtain the difference.

  $24-10=14$

Subtract the second term from the third term to obtain the difference.

  $36-24=12$

Subtract the third term from the fourth term to obtain the difference.

  $52-36=16$

Since the difference is not same, therefore, the sequence is not an arithmetic progression.

Thus, the pattern of the sequence $10,24,36,52,\dots$ is not arithmetic.