# Sequences and the Recursive rule

• Mar 6th 2008, 05:53 PM
blackrider76
Sequences and the Recursive rule
This problem has been driving me crazy:

Specify each sequence both explicitly and recursively. (Hint: For the recursive rule, consider a(subscript: n+1) - a(subscript: n)

1, 4, 9, 16, 25...

I need help on what they mean by a(subscript: n+1) - a(subscript: n). I know it has something to do with moving a(subscript: n) over in the recursive rule equation (a[subscript: n+1] = a[subscript: n] + D where D is the common difference) but I can't figure it out...
• Mar 6th 2008, 06:02 PM
TheEmptySet
Quote:

Originally Posted by blackrider76
This problem has been driving me crazy:

Specify each sequence both explicitly and recursively. (Hint: For the recursive rule, consider a(subscript: n+1) - a(subscript: n)

1, 4, 9, 16, 25...

I need help on what they mean by a(subscript: n+1) - a(subscript: n). I know it has something to do with moving a(subscript: n) over in the recursive rule equation (a[subscript: n+1] = a[subscript: n] + D where D is the common difference) but I can't figure it out...

The sequence is generated by

\$\displaystyle a_n=n^2\$ for n =1,2,3...

as far as adding a Common difference D that only works for arithmetic sequences and this isn't one.
• Mar 6th 2008, 06:04 PM
blackrider76