Question

8. Write an equation of the form an = a1 + d(n - 1) that would

describes the nth term of the arithmetic sequence 7, 10, 13, 16,...

Answer 1

a(n) = 7 + 3(n - 1)

Explanation:

Notice that every term of the sequence 7, 10, 13, 16 is 3 more than the previous term. That tells us this is an arithmetic sequence with first term 7 and common difference (d) 3.

Adapting the given equation, we end up with

a(n) = 7 + 3(n - 1)