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Is this acceptable in recursive formulas?

by Cloudless
Tags: acceptable, formulas, recursive
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Cloudless
#1
Jan19-12, 05:09 PM
P: 15
Say for the recursive formula 2, 5, 9, 19 , 37...


Instead of writing it as an = an-1 + * 2 an-2

can you write it as:

an = 2an + (-1)n


Just double checking. I encountered this earlier helping someone and I haven't done recursive formulas in a while..
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AlephZero
#2
Jan19-12, 07:53 PM
Engineering
Sci Advisor
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Thanks
P: 7,150
I think you meant an = 2an-1 + (-1)n

Sure. Your formula is the same as

an = an-1 + (-1)n + an-1
= an-1 + (-1)n + 2an-2 + (-1)n-1
= an-1 + 2an-2


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