PH
2
K
Khách
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
Các câu hỏi dưới đây có thể giống với câu hỏi trên
DK
2
15 tháng 6 2016
A=1+2+4+8+16+...+8192
2A=2+4+8+16+32+...+16384
2A-A=16384-1
A=16383
Lên lớp 6 em sẽ hiểu rõ cách làm hơn bằng cách viết các số dưới dạng lũy thừa
TN
6
TN
2
KB
23 tháng 6 2015
S = 1 + 2 + 2x2 + 2x2x2 + ... +2x2x..x2 (13 thừ sô nhân 2)
2S = 2 + 2x2 +2x2x2 +..+2x2x2x..x2 (14 thùa số)
2S - S = 2 + 2x 2 + 2x 2x 2 + .. +2x2x2..x2(14 số x2 ) - 1 - 2 - 2x2 - 2x 2 - ... - 2x2x2..x2 ( 13 thừa số nhân 2)
S = 2x2x2x..x2 (14 thừa số) - 1
S = 16384 - 1 = 16383
Chúc bạn học tốt....
HT
6 tháng 6 2017
Sx2=[1+2+4+8+16+32+...+8192]x2
sx2=[2+4+8+16+32+64+...16384]
sx2-s=(2+4+8+16+32+64+...16384)-(1+2+4+8+16+32+...+8192)
s=16384-1
s=16383
NH
2
T
26 tháng 9 2015
A x 2 = 2 + 4 + 8 + ....................... + 16384
A x 2 – A = 16384 – 1 = 16383
Vậy A = 16383
DD
3 tháng 8 2016
Tính nhanh tổng sau A = 1+2+4+8+16+32 +.....+ 8192
****************************************...
Đặt A × 2 = 2 + 4 +8 +16 + 32 + ....+ 16384
Cùng thêm 1 và bớt 1 ta có như sau:
A × 2 = 1 + 2 + 4 + 8 + 16 + .....+ 1892 + 16384 -1
A × 2 = A + 16384 - 1
A = 16384 -1
A = 16383
****************************************...
Chúc bn học giỏi nha
3 tháng 8 2016
Tổng sau: A= 1 + 2 + 4 + 8 + 16 + 32 + ....... + 8192
Đặt A x 2 :
= 2 + 4 + 8 + 16 + 32 + ....... + 16384
Cùng thêm 1 và bớt 1 ta có:
A x 2 = 1 + 2 + 4 + 8 + 16 + ...... + 1892 + 16384 - 1
A x 2 = A + 16384 - 1
A = 16384 - 1
=> A = 16383
LD
0
NT
2
7 tháng 12 2018
Đặt A = 1 + 2 + 4 + ... + 8192
A = 1 + 2 + 22 + ... + 213
=> 2A = 2 + 22 + 23 + ... + 214
=> 2A - A = ( 2 + 22 + 23 + ... + 214 ) - ( 1 + 2 + 22 + ... + 213 )
<=> A = 214 - 1
<=> A = 16383
Vậy A = 16383
7 tháng 12 2018
16383
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MT
4
D
0
A=1+2+4+8+16+...+8192A=1+2+4+8+16+...+8192
A=20+21+22+23+24+....+213A=20+21+22+23+24+....+213
2A=21+22+23+24+....+2142A=21+22+23+24+....+214
2A−A=(21+22+23+24+...+214)−(20+21+22+23+24+...+213)2A−A=(21+22+23+24+...+214)−(20+21+22+23+24+...+213)
⇒A=214−1=16383
Giải :
A = 1 + 2 + 4 + 8 + ... + 8192
=> A = 20 + 21 + 22 + 23 + ... + 213
=> 2A = 21 + 22 + 23 + 24 + ... + 214
=> 2A - A = ( 21 + 22 + 23 + 24 + ... + 214 ) - ( 20 + 21 + 22 + 23 + ... + 213 )
=> A = 214 - 20
=> A = 16 384 - 1 = 16 383