Question

(04.06)

A sequence has its first term equal to 8, and each term of the sequence is obtained by adding 6 to the previous term. If f(n) represents the nth term of the sequence, which of the following recursive functions best defines this sequence? (1 point)

Answer 1

The answer would be y=6+n

Answer 2

The recursive function which best represents the sequence is:

f(n)=f(n-1)+6

Explanation:

A sequence has its first term equal to 8, and each term of the sequence is obtained by adding 6 to the previous term.

i.e. f(n) represents the n th term of the sequence

Then, f(1)=8

f(2)=f(1)+6

f(3)=f(2)+6

in general, f(n)=f(n-1)+6

Hence, the recursive function which best represents the sequence is:

f(n)=f(n-1)+6