Chapter 9, Problem 17MCQ

Solution

To find whether the sequence $\text{11,22, 33, 44,}\mathrm{...}$ is arithmetic or not, and the find the common difference if it is.

The sequence is arithmetic and the common difference is 11.

Given information:

The sequence, $\text{11,22, 33, 44,}\mathrm{...}$ .

Calculation:

Find the difference between the consecutive terms.

  $\begin{array}{c}22-11=11\\ 33-22=11\\ 44-33=11\end{array}$

Observe that the differences between the consecutive terms are equal. So, the sequence is arithmetic and the common difference is $11$ .

Conclusion:

The sequence is arithmetic and the common difference is 11.