Chapter 12, Problem 17RE

To determine

To find:The ninth term of given sequence.

Answer to Problem 17RE

The ninth term of given sequenceis $35$ .

Explanation of Solution

Given information:

The sequenceis $3,7,11,15,\mathrm{...}$ .

Calculation:

The sequence is,

  $3,7,11,15,\mathrm{...}$

The common difference is,

  $\begin{array}{c}{d}_1=7-3\\ =4\\ d_2=11-7\\ =4\end{array}$

Since, the common difference is same.

Thus, the sequence is arithmetic.

The ninth term is,

  $\begin{array}{c}{a}_9=3+\left(9-1\right)4\\ =3+32\\ =35\end{array}$