Chapter 4.7, Problem 11PPE

To determine

Pattern of the sequence and next two term of the sequence 2, 6, 10, 14, …..

Answer to Problem 11PPE

The pattern is “Next term is 4 more than the previous term”.

And next two terms are 18 and 22.

Explanation of Solution

Given:

The given sequence is,

2, 6, 10, 14, …..

Here,

  $\begin{array}{l}6-2=4\\ 10-6=4\\ 14-10=4\end{array}$

So, the pattern is that the next term is 4 more than the previous term.

Now, the next two term will be

  $\begin{array}{l}14+4=18\text{and}\\ 18+4=22\end{array}$