Periodic Function

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

9 Answers

33
Abhishek Priyam ·

2na ?

62
Lokesh Verma ·

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

33
Abhishek Priyam ·

:(

tukka galta kaise hua.. :(

62
Lokesh Verma ·

my first tukka was also 2na :)

1
pavanmalhra ·

i think its n+1/a

1
skygirl ·

bhaiya 3rd step samajh me ni aya :'(

3
msp ·

compare the first and second step sky

1
skygirl ·

THANKUUUUUUUUUU !!!!

1
Vivek ·

thanks

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