1/2-1/4+1/8-1/16+...-1/2024+1/2028
A=(1-1/4)×(1-1/9)×(1-1/16)×...×(1-1/400)
tính : A= (1-1/4) . (1-1/9) . (1-1/16) ...(1-1/10000)
Tính A= (1-1/4).(1-1/9).(1-1/16)...(1-1/900)
a=2020. 2020-2022.2018
b= (1/4 -1).(1/9-1).(1/16-1)....(1/400-1)
A=(1-1/4).(1-1/9).(1-1/16).(1-1/25)...(1-1/10000)
A= 1/4+1/9+1/16+...+1/81+1/100.Chung to A>65/132
a) 5/6 x 11/4 - 5/4 x 23/6
b) 9/16 x 13/4 - 9/4 x 5/16 + 9/16 x 17/
hay tinh tong:
1/1 x 2 + 1/2 x 3 + 1/3 x 4 + .... + 1/n (n + 1)
chung minh:
1/22 + 1/32 + 1/42 + ..... + 1/n2 < 1
giai dum nhe
A = \(\dfrac{1}{3}\)-\(\dfrac{2}{^{ }3^2}\)+\(\dfrac{3}{3^3}\)-\(\dfrac{4}{3^4}\)+...+\(\dfrac{2023}{3^{2023}}\)-\(\dfrac{2024}{3^{2024}}\) so sánh A với \(\dfrac{3}{16}\)