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# Sequences watch

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1. The sequence u1,u2,u3 is defined by the recurrence relation
Un+1 = (un)^2 -1 N>1
A) find expressions for u2 and u3 in terms of k
Given also that u2 + u3=11
B) find the possible values of k
2. (Original post by Katiekat2000)
The sequence u1,u2,u3 is defined by the recurrence relation
Un+1 = (un)^2 -1 N>1
A) find expressions for u2 and u3 in terms of k
Given also that u2 + u3=11
B) find the possible values of k
are you given an initial value for U1 in terms of k? or do they want you to let U1 = k?
3. I'm assuming you've been given in terms of ?

If so then you just have to use the recurrence relation

etc.

And for part b use that information to form an equation.
4. (Original post by DylanJ42)
are you given an initial value for U1 in terms of k? or do they want you to let U1 = k?
U1 = k
5. (Original post by Katiekat2000)
U1 = k
okay so if then

and

can you try sub in into the first of those two and see what you get for

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