Question

Find an explicit formula for g(n)

Answer 1

Answer:

g(n) = 2n + 49

Step-by-step explanation:

The explicit formula for an arithmetic sequence is

g(n) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given the recursive formula

g(n) = g(n - 1) + 2 ← with d = 2 and a₁ = 51, then

g(n) = 51 + 2(n - 1) = 51 + 2n - 2 = 2n + 49 ← explicit formula