3 years ago

The explicit formula u(n) = -17 + 24n, where u(1) = 7, find the recursive formula for u(n).

1 answer:

4 0

Given <span>u(n) = -17 + 24n, substitute n+1 fo n:

u(n+1) = -17 + 24(n+1) = 7 + 24n

Now add and subtract u(n) like this (net result would be 0) and simplify:

u(n+1) = u(n) - (-17+24n) + 7 + 24n =>
n(n+1) = u(n) + 17 - 24n + 7 + 24n =>
</span>n(n+1) = u(n) + 24

That is answer A.

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