Question

A1 = 11ai = ai-1 + 2 What is a4, the fourth term of this arithmetic sequence?

Answer 1

Using the formula for the general term of an arithmetic sequence, we have:

an = a1 + (n-1)*d

an= 11 + (n-1)*2 (In this case the common difference 'd' is 2)

a4= 11 + (4-1)*2 (Replacing n=4 to find the fourth term)

a4= 11 + (3)*2 (Subtracting)

a4= 11 + 6 (Multiplying)

a4 = 17 (Adding)

The answer is 17