Question

Find an

explicit formula for the arithmetic sequence 37, 74, 111, 148, ....
Note: the first term should be a(1).

Answer 1

Explanation:

a₁ = 37

a₂ = 74

Common difference d = a₂ - a₁ = 37

nth term = a₁ + (n-1)d

= 37 + (n-1)37

= 37n

Answer 2

Below in bold.

Explanation:

The common difference is 74-37 = 37.

nth term a(n) = a1 + (n - 1)d

= 37 + 37(n - 1)

= 37n.