Question

Explicit formula for the arithmetic sequence 37,74,111,148

Answer 1

`a_(n)` = 37n

Explanation:

The explicit formula for an arithmetic sequence is

`a_(n)` = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 37 and d = 74 - 37 = 37, thus

`a_(n)` = 37 + 37(n - 1) = 37 + 37n - 37 = 37n

Answer 2

Each value increases by 37
The explicit formula is:
a(n)=37+37(n-1)