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Let f(x) be a function such that : f(x -...

Let `f(x)` be a function such that `: f(x - 1) + f(x + 1) = sqrt3 f(x),` for all `x epsilon R.` If `f(5) = 100,` then prove that the value of `sum_(r=o)^99 f(5 + 12r)` will be equal to `10000.`

Text Solution

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The correct Answer is:
f(x) is period 12 and `sum_(r=0)^(99)f(5+12r)=10000`
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