Recursive and explicit rule for the sequence 63,70,77,84,91

Answer 1

Our sequence is:

63, 70, 77, 84, 91.

Between each term we have a difference of 7, so for our recursive representation we say:

a(n)=a(n-1)+7, where a(n) is the nth term in the sequence, and a(n-1) is the term before a(n).

We are given five valid terms, so we can only say that the sequence exists on that domain.

Explicitly, a(n)=67+7(n-1) for n is an integer between 1 and 5, where we take a(1)=67 to be the first term.

Let me know if that makes sense, I can always give more examples!