=2(1+5+9+...+97) - (1+2+3+4+5+...+97+98+99+100)
=2450-5050=-2600
=2(1+5+9+...+97) - (1+2+3+4+5+...+97+98+99+100)
=2450-5050=-2600
1/3-2/3^2+3/3^3-4/3^4+...+99/3^99-100/3^100<1/4
Tính A=1+3/2^3+4/2^4+......+99/2^99+100/2^100
1/1*2 - 1/2*3 - 1/3*4- ..... -1/98*99=1/100+1/99*100
1/1*2 1/2*3 1/3*4 ..... -1/98*99=1/100 1/99*100
tính 1/3 - 2/3^2 + 3/3^3 - 4/3^4..... + 99/3^99 - 100/3^100
1.Tính
B=1/2+2/2^2+3/2^3+4/2^4+.....+99/2^99+100/2^100
c/m
a/
1/2!+2/3!+3/4!+...+99/100!<1
b/
1*2-1/2!+2*3-1/3!+3*4-1/4!+...+99*100-1/100!<2
tính nhanh (1+2+3+...+99+100).(1/2-1/3-1/7-1/9)(63.1,2-21.3,6)/1-2+3-4+...+99-100
A=(1+2+3+...+99+100)(1/2-1/3-1/7-1/9)(63.1,2-21.3,6)/1-2+3-4+...+99-100
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