Question

Find a formula for the general term of the sequence, assuming that the pattern of the first few terms continues. 2, 9, 16, 23

Answer 1

This is an arithmetic sequence which means all of these terms are all the same distance from one another.
an=a1+d(n-1)
an=2+7(n-1)
an=2+7n-7
Answer: an=7n-5

Answer 2

It increases by 7 and it's arithmetic progression:
Where d = 7
a = 2

and the formula will be


`a_(n)` = a + d (n-1) = 2 + 7*(n-1)

Where n starts from 1 and continues to the infinity