C
coca cola
Guest
this Q is from jeff geha's 50 tips, tip no.48 first example in induction.
this part i don't get:
1 + 1/4 + 1/9... 1/k^2 + 1/(k+1)^2 < 2 - 1/k + 1/(k+1)^2
. = 2 - (1/k - 1/[k(k+1)])
what i don't get is why does:
2 - 1/k + 1/(k+1)^2 = 2 - (1/k - 1/[k(k+1)])
doesn't 2 - 1/k + 1/(k+1)^2 < 2 - (1/k - 1/[k(k+1)]) instead?
what am i missing?
this part i don't get:
1 + 1/4 + 1/9... 1/k^2 + 1/(k+1)^2 < 2 - 1/k + 1/(k+1)^2
. = 2 - (1/k - 1/[k(k+1)])
what i don't get is why does:
2 - 1/k + 1/(k+1)^2 = 2 - (1/k - 1/[k(k+1)])
doesn't 2 - 1/k + 1/(k+1)^2 < 2 - (1/k - 1/[k(k+1)]) instead?
what am i missing?