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How to give inductive definition to sequence?

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Original post by TSRforum
Here's a recurrence question (not that far off from my question):

A sequence is given by the recurrence relationun = 1/2(k + 3un–1), n > 1, u1 = 2.

a Find an expression for u3 in terms of the constant k.
Given that u3 = 7,
b find the value of k and the value of u4.


Where would you start?

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