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

Step-by-step explanation:

a₁ = 37

a₂ = 74

Common difference d = a₂ - a₁ = 37

nth term = a₁ + (n-1)d

= 37 + (n-1)37

= 37n

Below in bold.

Step-by-step explanation:

The common difference is 74-37 = 37.

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

= 37 + 37(n - 1)

= 37n.

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