Question

Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. (assume that n begins with 1.) {2, 9, 16, 23, 30, . . . }

Answer 1

This is an arithmetic sequence with first term 2 and common difference 7. The general term a[n] can be written as
  a[n] = 2 +7(n -1)
or
  a[n] = 7n -5