2na ?
f(x) + f(x+a) + f(x+2a) + ... + f(x+na) = -f(x-a) \vee x \epsilon R ; a>0
What is the period of f
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9 Answers
Lokesh Verma
·2009-03-09 08:34:50
f(x-a)=-\left\{f(x)+f(x+a)+....................f(x+na) \right\}\\ \\ f(x)=-\left\{f(x+a)+f(x+2a)+....................f(x+na+a) \right\}\\ f(x)=f(x)+f(x-a)-f(x+(n+1)a)\\ f(x-a)=f(x+(n+1)a)\\
hence period is (n+2)a