Tính nhanh
C=50^2-49^2+48^2-47^2+...+2^2-1^2
D=(2^2-1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)
E=(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)
Tính nhanh
a) 5^4×3^4-(15^2-1)*(15^2+1)
b) 50^2-49^2+48^2-47^2+...+2^2-1^2
d) (3^2+1)*(3^4+1)*(3^8+1)
cho p=1/2+1/3+1/4+…+1/47+1/48+1/49+1/50
q=1/49+2/48+3/49+…47/3+48/2+49/1
tính p/q
Chứng minh rằng:
a) ( 2 + 1)( 22 + 1)(24 - 1)(28 - 1)(216 + 1) = 232 - 1
b) ( 3 + 1)( 32 + 1)(24 - 1)(38 - 1)(316 + 1) = \(\frac{3^{32}-1}{2}\)
c) 502 + 482 +...+42 + 22 = 492 + 472 +...+ 32 + 12 + 1275
B= 1/33×4×5 +1/4××5×6+..+1/48×49×50
E=1+1/2×(1+2) +1/3×(1+2+3)++1/2018×1+2+3+..+16)
Tính hộ mình nhé cảm ơn nhiều
Tính S/P biết:
S = 1/2 + 1/3 + 1/4 + 1/5 + ... + 1/49 + 1/50
P = 1/49 + 2/48 + 3/47 + ... + 48/2 +49/1
So sánh tổng : S = 1/5 + 1/9 + 1/10 + 1/41 + 1/42 với 1/2
S=
=50/50+50/49+50/48+...+50/2
=50.(1/50+1/49+1/48+...+1/4+1/3+1/2)
=50
P=
P=(1/49+1)+(2/48+1)+...+(48/2+1)+1
P= 50/49+50/48+....+50/2+50/50=1
vậy s/p = 1/50
cho S = 1/2+1/3+1/4+...+1/49+1/50 và P = 1/49 +2/48+3/47+...+48/2+49/1.
tính S/P
Cho S =1/2 +1/3 + 1/4+...+1/48+1/49+1/50
Và P = 1/49 + 2/48 + 3/47+...+ 48/2 + 49/1
Tính S / P
cho P=1/2+1/3+1/4+...........+1/48+1/49+1/50 và Q=1/49+2/48+3/47+........+47/3+48/2+49/1
Cho P=1/2+1/3+1/4+...+1/50
Q=1/49+2/48+3/47+...+48/2+49/1
Tính P/Q
Tính:
B = 1*2+2*3+3*4+...+2011*2012
C =1*50+2*49+3*48+...+49*2+50*1
D = 4*7+7*10+10*13+...+205*208
E = (2+4+6+8+..+2014)-(3+5+7+9+...+2011)