Question

2, 9, 16, 23, Number pattern expression equations

Answer 1

Below

Explanation:

The sequence first terms are:

● 2, 9, 16, 23

Notice that:

● 23 - 16 = 7

● 16 - 9 = 7

● 9 - 2 = 7

Each time we add 7 to get a new term

● 2 + 7 = 9

To get the next term take the last one and add 7 to it.

● 23 + 7 = 30

The next term is 30

Answer 2

see below

Explanation:

2+7 = 9

9+7 = 16

16+7 = 23

We are adding 7 each time

an = a1+ 7(n-1) where an is the nth term a1 is the first term and n is the term number

an = 2 + 7n - 7

an = 7n -5

or

an+1 = an +7