tính x biết :B=1/2+1/4+1/8+1/16+...........+1/x+1/512
Tính :
N = ( 1/2x4 + 1/4x6 + 1/6x8 + 1/8x10 + ....... + 1/98 X 100 ) : ( 1/2 + 1/4 + 1/8 + 1/16 + ........ + 1/512 )
Tính
a. 1 + 2 + 2 + 4 + 8 + 16 + 32 + 64 + 128 + 256 + 512
b.1 x 2 + 2 x 3 + 3x4 + 4 x 5 + ... + 99x100
cho minh cách lam voi.thanks
Tính nhanh tổng A biết :A =1/2+1/4+1/8+1/16+....+1/256+1/512
Ta có: A =1/2+1/4+1/8+1/16+....+1/256+1/512
=> 2A = 1 + 1/2 + 1/4 + 1/8 + ...+ 1/128 + 1/256
=> 2A - A = (1 + 1/2 + 1/4 + 1/8 + ...+ 1/128 + 1/256 -(1/2+1/4+1/8+1/16+....+1/256+1/512 )
A = 1 - 1/512 = 511/512
Bài 1: Tính nhanh
a) A = 1/2 + 1/4 + 1/8 +.... + 1/512 + 1/1024
b) B = 2 * 4 + 2 * 4 * 8 + 4* 8 *16 + 8 * 16 * 32/3 * 4 +2 * 6 *8 + 4* 12 * 16 * 8 * 24 *32
Bài 2 : Tìm x
a) x * x = x + x b) x * 3 = x * 5 c) x * x * x = 0,001
1 200-18 :(372:3 *x-1)-28=166
(7*13+8*13):(9va2/3-x)=39
x=(6va3/5:s6-0,125 *8+2va2/15*0,03)*11/4
(100-99+98-97+96-95+....+4-3+2-1):50 +2010-12*x=91
2 A= 1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256+1/512+1/1024
B=27.45+27.55/2+4+...+16+18
Tính tổng:1 + 1/2 + 1/4 + 1/8 + 1/16 + ...+ 1/512 + 1/1024
Dãy số đó có số số hạng là :
( 1/1024 - 1 ) :
( 1 + 1/1024 ) *
tính nhanh
1/2+1/4+1/8+1/16+.......+1/256+1/512
1/2 + 1/4 + 1/8 + 1/16 + ... + 1/256 + 1/512
= 256/512 + 128/512 + 64/512 + ... + 2/512 + 1/512
= 256 + 128 + 64 + .. + 2 + 1 / 512
= ???????
s=1/2+1/4+1/8+1/16+.....+1/256+1/512
sx2=(1/2+1/4+1/8+1/16+....+1/256+1/512)x2
sx2=1+1/2+1/4+1/8+......+1/126+1/256
sx2-s=(1+1/2+1/4+1/8+......+1/256)-(1/2+1/4+1/8+1/16++.....+1/256+1/512)
1+1/2+1/4+1/8+......+1/256-1/2-1/4-1/8-1/16-.....1/256-1/512
=1-1/512=511/512
có ai bik B=1/4+1/8+1/16+1/...+1/256 ko (nếu bik thì giải tử tế nhé mik cảm ơn)
Kết quả của dãy tính:
1/2 + 1/4 + 1/8 + 1/16 + … 1/256 + 1/512 bằng…
Vậy dãy số đó là:
1/2 + 1/4 + 1/8 + 1/32 + 1/64 + 1/128 + 1/256 + 1/512 =
256/512 + 128/512 + 64/512 + 32/512 + 16/512 + 8/512 + 4/512 + 2/512 + 1/512 511/512
Đáp số: 511/512
Tìm x biết
x*(1/2+1/4+1/8+...+1/512)=511/256
A= 1/2 + 1/4+ 1/8+ 1/16 + 1/32 + 1/64 + 1/128 + 1/256 + 1/512 (1)
=> 2A=1+ 1/2 + 1/4+ 1/8+ 1/16 + 1/32 + 1/64 + 1/128 + 1/256 (2)
Lấy (1)-(2)
=> 2A-A=(1+ 1/2 + 1/4+ 1/8+ 1/16 + 1/32 + 1/64 + 1/128 + 1/256)-(1/2 + 1/4+ 1/8+ 1/16 + 1/32 + 1/64 + 1/128 + 1/256 + 1/512)
=>A=1-1/512=511/512
5* nha bạn