PHEW.... finally here.....
f(0)=N g(0)=0
g(n+1)=2{f(n)/2+g(n)/2} (fractional part)
f(n+1) = [f(n)/2+g(n)/2] (greatest integer..)
where n is integer
find f(1)+f(2)+f(3)...... infinity...
N is an integer :)
62celestine f(1) is defined as zero... that is already given in the question...
1T(n) = 1 + 2 + 2 + 3 + 3 + 4 + 4 + 5 + 5 +6 + 6 +.....
= 1 + 2 ( 2 + 3 + 4 + ...... (n-1 /2))
T2(n) = 0 + 1 + 1 + 1 + 1 + 2 + 2 + 2 + 2 + 3 + 3 + 3 +3 + ....
= 4 (1 +2 +3 + ......... (n-1 / 4))
t3(n) = 8 X 1 + 8 X2 ....
= 8 (1 +2 + 3 ... + n-1 /8 )
......
.....
tn(n) = 2n(1 +2 +3 ..... + n-1 / 2n)
1[3] [3]
this is the funniest thing ever happened in tiit :P :P :P
answers without question :P
