Rút gọn

A= 2^100+2^99+2^98.....+2+1

B=3^100+3^99+3^98....+3+1

C=4^100+4^99+....+4+1

D=2^100- 2^99+....+2^2 - 2 + 1

E=3^100 - 3^99 + 3^98....- 3 +1

Thu gọn

M= 2 + 2^2 + 2^3 ....+ 2^100

Cho A =2+2^2+2^3+....2^100. Tìm số tự nhiên x sao cho A + 1 = 2x

1.A=(2/3+3/4+4/5+................+99/100)*(1/2+2/3+..............+98/99);B=(1/2+2/3+..............+99/100)*(2/3+3//4+...................+98/99)

Tính A và B bằng cách thuận tiện nhất.

2.Cho a=2008/2009;b=2009/2008;c=1/2009;d=2007/2008

Tính a-b+c+d

3.Tìm STN m biết:

2016+m/m+2520+m/m+3024+m/m

1/ Cho A= \(\dfrac{1}{3}\)-\(\dfrac{2}{3^2}\)+\(\dfrac{3}{3^3}\)-\(\dfrac{4}{3^4}\)+...+\(\dfrac{99}{3^{99}}\)-\(\dfrac{100}{3^{100}}\)
c/m A<\(\dfrac{3}{16}\)

Tính tổng:

a) A= 1^2*2 + 2^2 *3 + 3^2*4 +...+ 99^2*100
b) B= 1*2^2 + 2*3^2 + 3*4^2 +...+ 99*100^2
c) C= 1^3 + 2^3 + 3^3 +...+ 99^3

bài 1

A=1*2*3+2*3*4+3*4*5+...+99*100*101

B=1*3*5+3*5*7+...+95*97*99

C=2*4+4*6+..+98*100

D=1*2+3*4+5*6+...+99*100

E=1^2+2^2+3^2+...+100^2

G=1*3+2*4+3*5+4*6+...+99*101+100*102

H=1*2^2+2*3^2+3*4^2+...+99*100^2

I=1*2*3+3*4*5+5*6*7+7*8*9+...+98*99*100

K=1^2+3^2+5^2+...+99^2

Tính nhanh

  a, 1-2+3-4+.....+2015-2016+2017

b,1+3-5-7+9+11+....+97-98-99+100+101

c,1-2-3+4+5-6-7+....+97-98-99+100+101

d,2^100-2^99-2^98-....-2-1

Nhanh nha m dang cần gấp

Tính

A=1*2+2*3+3*4+..+99*100

B=1*3+3*5+5*7+..+97*99

C=1*2*3+2*3*4+...+98*99*100

Tính giá trị biểu thức

a, A = (1 - 1/1+2) . (1 - 1/1+2+3) . (1- 1/1+2+3+4) . ... .(1- 1/1+2+...+100)

b, B = (2/3+ 3/4 +...+99/100).(1/2+2/3+...+98/99) - (1/2+2/3+...+99/100).(2/3+3/4+...+98/99)

c, C = \(\frac{3^3+1^3}{2^3-1^3}+\frac{5^3+2^3}{3^3-2^3}+\frac{7^3+3^3}{4^3-3^3}+...+\frac{41^3+20^3}{21^3-20^3}\)

tính

a=1*2+2*3+3*4+....+99*100

b=1*3+3*5+5*7+....97*99

c=1*2*3+2*3*4+...98*99*100

giải dùm mk nhoa