\(\left(1-\dfrac{1}{2^2}\right)\left(1-\dfrac{1}{3^2}\right)...\left(1-\dfrac{1}{99^2}\right)\)
\(=\dfrac{2^2-1}{2^2}.\dfrac{3^2-1}{3^2}...\dfrac{99^2-1}{99^2}\)
\(=\dfrac{1.3}{2.2}.\dfrac{2.4}{3.3}...\dfrac{98.100}{99.99}\)
\(=\dfrac{1}{2}.\dfrac{100}{99}=\dfrac{100}{198}\)
Vậy...
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+(-2)+3+(-4)+5+(-6)+7+(-8)+9+(-10)+11+(-12)=
-1+2+(-3)+4+(-5)+6+(-7)+8+(-9)+10+(-11)+12=
(-1)+(-2)+(-3)+(-4)+.......+(-99)+(-100)=
(-1)+2+(-3)+4+.......+(-99)+100=
1+(-2)+3+(-4)+........+99+(-100)=
lam la co tick nha
Tìm tích của:
a) (1/2+1).(1/3+1).(1/4+1)......(1/999+1)
b)(1/2-1).(1/3-1).(1/4-1)......(1/1000-1)
c) 3/2 mũ 2.8/3 mũ 2 . 15/4 mũ 2.....99/10 mũ 2
tính tổng:
1: 1+(-2)+3+(-4)+........+19+(-20)
2: 1- 2 +3 -4+......+99 - 100
3: 2 - 4+6 - 8+.....+48 - 50
4: -1 + 3 - 5 +7 -.....+97 - 99
5: 1 + 2 - 3 - 4 +.....+97 + 98 - 99 - 100
giải cụ thể hộ mk cái ak ^^
Cho A=\(\dfrac{\dfrac{1}{2}+\dfrac{1}{3}+\dfrac{1}{4}+...+\dfrac{1}{99}+\dfrac{1}{100}}{\dfrac{99}{1}+\dfrac{98}{2}+\dfrac{97}{3}+...+\dfrac{2}{98}+\dfrac{1}{99}}\)
Tính A
1 TI NH
1^2+2^2+3^2+......+99^2+100^2
1+4^2+4^3+4^4+..............+4^50
tính nhanh
a) 1/1*2 + 1/2*3 + 1/3*4 + 1/4*5 + ......... + 1/98*99 + 1/99*100
b) 5/11*16 + 5/16*21 + 5/21*16 + .......... + 5/61*66
Tính D biết : \(D=\frac{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{100}}{\frac{99}{1}+\frac{98}{2}+\frac{97}{3}+...+\frac{1}{99}}\)
Bài 1.Tính
a.(1/2+1).(1/3+1).(1/4+1).…….….(1/99+1)
b.1:99/100:98/99:97/98:…………:2/3:1/2
Bài 2.Tìm x, biết
a.(1,16x).5,25/(10 5/9-7 ¼).2 2/7=75%
b.x+4/5.9-+4/9.13+4/13.17+................+4/41.45=-37/45
Giúp mik với , mik cảm ơn trước nka!!!
