Question 683948: how can i find rule for sequances 100,99,95,86
Answer by Edwin McCravy(20056)   (Show Source):
You can put this solution on YOUR website! 100,99,95,86
Start with
100, the first term.
100-1² = 100-1 = 99, the second term.
99-2² = 99-4 = 95, the third term.
95-3² = 95-9 = 86, the forth term.
Rule for getting the (n+1)st term:
Take the nth term and subtract n squared.
So the recursion formula is
a1 = 100, an+1 = an - n²
The general formula is
an = 100-
That's found by more advanced methods.
Edwin
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