7, 9, 11,

generalize the pattern by finding an explicit formula for the nth term.

an = 5 + 2n

Step-by-step explanation:

Each time it increases by the same amount (2), so this is an arithmetic sequence:

an = a₁ + d (n - 1)

Given a₁ = 7 and d = 2:

an = 7 + 2 (n - 1)

an = 7 + 2n - 2

an = 5 + 2n

Check our

n=1: a₁ = 5 + 2(1) = 7

n=2: a₂ = 5 + 2(2) = 9

n=3: a₃ = 5 + 2(3) = 11

n=4: a₄ = 5 + 2(4) = 13

2

step-by-step explanation: