CHO BIỂU THỨC
CHO BIỂU THỨC :
a, A=3 + 3^2 + 3^3 + 3^4 + ...........+3^100
B=3^101 -1
cmr: A<B
b, M=1 + 4 + 4^2 + ...........+ 4^99
N=4^100
cmr: M < N/3
c, A=1 + 2^2 + 3^2 + 4^2 + ............+ 99^2 +100^2
K=10100
cmr : A < K
d, E= 1 .2 + 2 . 3 + 3 . 4 + ...........+999 . 1000
B= 111111000
cmr: E > B
e, P = 1/2^2 + 1/3^2 + .....+ 1/100^2
cmr : P < 3/4
a, A=3 + 3^2 + 3^3 + 3^4 + ...........+3^100
B=3^101 -1
cmr: A<B
b, M=1 + 4 + 4^2 + ...........+ 4^99
N=4^100
cmr: M < N/3
c, A=1 + 2^2 + 3^2 + 4^2 + ............+ 99^2 +100^2
K=10100
cmr : A < K
d, E= 1 .2 + 2 . 3 + 3 . 4 + ...........+999 . 1000
B= 111111000
cmr: E > B
e, P = 1/2^2 + 1/3^2 + .....+ 1/100^2
cmr : P < 3/4