# Find common term for this sequence

## Homework Statement

6 /(12 + 1), 1/(22 + 1),6/(32 + 1),1/(42 + 1)

none

## The Attempt at a Solution

I suspect this is not that hard, I get the denominators but the numerator alternates so I though I would need 6 to be the base of a power that alternates between 0 and 1 but I cant think of anything :/

andrewkirk
Homework Helper
Gold Member
Are you trying to find a formula for the nth term in the sequence?

You can handle the alternation between 1 and 6 by using the mod function, expressing things in mod 2.

Or, there's a special number that, when raised to the power of integer ##n##, gives alternating behavior of the type you seek. What number is that?

NihalRi
Are you trying to find a formula for the nth term in the sequence?

You can handle the alternation between 1 and 6 by using the mod function, expressing things in mod 2.

Or, there's a special number that, when raised to the power of integer ##n##, gives alternating behavior of the type you seek. What number is that?
yes that's what i'm trying to do
I've never heard of a mod function:/ but i'll google it. A number that alternates between one and zero? cant think of one, hint?

andrewkirk