Question

What is the common difference between successive terms in the sequence?

2, 8, 14, 20, 26, ...

–6
–4
4
6

A sequence is defined recursively using the equation . If f(1)=100, what is f(6)?

52
60
68
92

Answer 1

1) 6 — each term increases by 6 (8−2=14−8=20−14=6).

2) 60 — using f(n)=f(n−1)−8, f(6)=100−5·8=60.