Question

Find the 7th term in the following sequence (n = 7)

f(n) = 5 + 8(n-1)

Also, for this question, state what a1 is (first term) and the common difference (a2 - a1).

Answer 1

see explanation

Explanation:

Substitute n = 7 into f(n)

f(7) = 5 + 8(7 - 1) = 5 + 8(6) = 5 + 48 = 53

f(n) = 5 + 8(n - 1) represents the nth term of an arithmetic sequence

f(n) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

By comparison, then

a₁ = 5 and common difference d = 8