Question

In Problems 17–19, find the indicated term in each sequence.

9th term of $\sqrt{2},2\sqrt{2},3\sqrt{2}.............$

Short answer

9th term is$9\sqrt{2}$

Step-by-step solution

Step 1. Given information.

Sequence is:$\sqrt{2},2\sqrt{2},3\sqrt{2},........$

Step 2. To find general term of sequence.

Here we can see that difference between two successive term is constant, hence given sequence is arithmetic sequence.

Its first term is $\sqrt{2}$.

general term is $a_n=n\sqrt{2}$.

9th term is$a_9=9\sqrt{2}$