Question

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

9th term of 3, 7, 11, 15, .........

Short answer

The 9th term is 35.

Step-by-step solution

Step 1. Given information.

The sequence is:$3,7,11,15........$

Step 2. Find type of term of sequence and 9th term of the sequence.

Since in given sequence the difference between successive term is constant.

Hence the given sequence is an arithmetic sequence.

Its first term is:$a=3$

Common difference is: $$\begin{gathered} d=7-3 \\ =4 \end{gathered}$$

9th term is:$$\begin{gathered} a_9=3+\left(9-1\right)4 \\ =3+8\times 4 \\ =3+32 \\ =35 \end{gathered}$$