Question

The first several terms of a sequence { an } are given. Assume that the pattern continues as indicatedand find an explicit formula for an .3, 4, 5, 6, 7,

Answer 1

Answer:

  an = 2 + n

Step-by-step explanation:

The differences between terms are all 1. The first term is 3. The general form of the general term is ...

  an = a1 + d(n -1)

Filling in a1 = 3 and d = 1, we have ...

  an = 3 + n - 1

  an = 2 + n . . . . . . simplify