What is the iterative rule for the sequence: 10.5, 9, 7.5, 6, 4.5, 3, …?

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12-07-2016
Mathematics

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What is the iterative rule for the sequence: 10.5, 9, 7.5, 6, 4.5, 3, …?

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caylus caylus · Answer 1 · 2016-07-12T20:01:48+02:00

caylus caylus

12-07-2016

Hello,

Your sequence is arithmetic.

10.5-9=1.5
9-7.5=1.5
7.5-6=1.5
6-4.5=3
4.5-3=1.5
3-1.5=1.5
1.5-1.5=0
...
f(x)=f(n-1)-1.5 is the iterative rule.

f(1)=10.5
f(2)=10.5-1.5=9
f(3)=10.5-2*1.5=7.5
f(4)=10.5-3*1.5=6
...
f(n)=10.5-1.5*(n-1) is the general form.

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