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The 7th, 8th and 9th terms of a sequence are 61,69 and 77 respectively. Find a formula to describe this sequence.
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Looking at the differences,

you can conclude that the sequence must be of the form
$u_{n}=8 n+c .$
For $n=7, u_{7}=56+c$, giving $c=5$.
Thus the formula to describe the sequence is
$u_{n}=8 n+5 .$

by Diamond (75,173 points)

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