johndoesnutz935 johndoesnutz935
  • 04-05-2018
  • Mathematics
contestada

Use forward or backward substitute to conjecture a closed formula which describes the nth term of the sequence an = an-1 – n, where a0 = 4.

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CastleRook
CastleRook CastleRook
  • 16-05-2018
The closed formula for  an = an-1 – n will be found using the formula for arithmetic sequence given by:
an=a+d(n-1)
where
a=first term
d=common difference
n=number of terms
From the formula given:
a=4
d=n
thus the formula will be:
an=a+n(n-1)
an=4+n(n-1)

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