Satya's back (try this!!)

IIT JEE 2015 Answers › Satya's Corner questions › Satya's back (try this!!)

g(x+1)+g(x-1)=g(x)..Find the period of g(x).

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7 Answers

106

Asish Mahapatra ·2010-08-04 22:48:49

SOLN:
g(x+1) + g(x-1) = g(x)
g(x+2) + g(x) = g(x+1)

adding both,
g(x+2) + g(x-1) = 0 = g(x-1) + g(x-4)
=>g(x+2) = g(x-4)
=> period = 6

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1

SatyaPriya Ojha ·2010-08-04 22:53:06

way to go! Asish..good job..correct the 4th line

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1

bindaas ·2010-08-05 00:14:05

substituite g(x) =cos (Ï€x3)

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39

Dr.House ·2010-08-05 00:17:11

good to find a substitute in case of exam

but its neither too long nor too difficult.....

anywyays good one

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1

bindaas ·2010-08-05 00:20:12

its not exactly a tukka

its a charateric function of this recursion !

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1

Che ·2010-08-05 00:22:31

generating polynomials ? rit

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106

Asish Mahapatra ·2010-08-05 03:36:09

yeah edited :)

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