Chapter 4.7, Problem 26PPE

To determine

To find: Whether the pattern of the sequence $3,6,12,24,\dots$ is arithmetic and also determine the common difference.

Answer to Problem 26PPE

No, the pattern of the sequence $3,6,12,24,\dots$ is not arithmetic.

Explanation of Solution

Given:

The sequence is $3,6,12,24,\dots$ .

Calculation:

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

  $6-3=3$

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

  $12-6=6$

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

  $24-12=12$

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

Thus, the pattern of the sequence $3,6,12,24,\dots$ is not arithmetic.