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
