Chapter 7, Problem 79CR

To determine

To find: The common ratio for geometric series $1,10,100,1000,\dots$ .

Answer to Problem 79CR

The common ratio for geometric series $1,10,100,1000,\dots$ is 10.

Explanation of Solution

Given:

The sequence is $1,10,100,1000,\dots$ .

Calculation:

Divide the second term with the first term of the sequence to obtain the ratio of sequence.

  $\frac{10}{1}=10$

Divide the third term with the second term of the sequence to obtain the ratio of sequence.

  $\frac{100}{10}=10$

Divide the fourth term with the third term of the sequence to obtain the ratio of sequence.

  $\frac{1000}{100}=10$

Therefore, the common ratio is 10.

Thus, the common ratio for geometric series $1,10,100,1000,\dots$ is 10.