For a sequence that starts with 5 and had a common difference of 2, what is the nth term

= 2n + 3

Step-by-step explanation:

This is an arithmetic sequence with nth term

= a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 5 and d = 2 , then

= 5 + 2(n - 1) = 5 + 2n - 2 = 2n + 3