Question

A sequence starts 0, 5, ...

Give a rule the sequence could follow and the next 3 terms for that rule.

Give a different rule the sequence could follow and the next 3 terms for that rule.

Answer 1

0, 5, 10, 15, 20

0, 5, 40, 405, 5,120

Explanation:

One rule can be "add 5 to the previous term to get the next term."

0, 5, 10, 15, 20

Second rule:

For each term number 1, 2, 3, ..., n,

each term = 5(n - 1)^n

0, 5, 40, 405, 5,120