K
Khách

Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.

22 tháng 7 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 thùa soos) - 1 

S = 16384 - 1 = 16383

14 tháng 8 2016

Gọi dãy số : 

2 + 4 + 8 + 16 + 32 +....+ 4096 + 8192 là : A

Đặt A x 2 = 2 + 4 +8 +16 + 32 + ....+ 16384 

Cùng thêm 1 và bớt 1 ta có như sau : 

A x 2 = 1 + 2 + 4 + 8 + 16 + .....+ 1892 + 16384 - 1 

A x 2 = A + 16384 - 1 

A = 16384 -1 

A = 16383 

14 tháng 8 2016

mk biet lam

14 tháng 3 2017

Đặt A = 1 + 2 + 4 + 8 + 16 + … + 4096 + 8192
Ta có: A = 20 + 21 + 22 + 23 + 24 + … + 212 + 213 (1)
Nhân cả hai vế của (1) cho 2, ta được: 2A = 21 + 22 + 23 + 24 + 25 + … + 213 + 214 (2)
Lấy (2) - (1), ta được: 2A - A = 21 + 22 + 23 + 24 + 25 + … + 213 + 214 - (20 + 21 + 22 + 23+ 24 + … + 212 + 213)
A = 21 - 20 + 22 - 21  + 23 - 22  + 24 - 23 + 25 - 24  + … + 213 - 212  + 214  - 213
A = 214 - 20
A = 16384 - 1
A = 16383

14 tháng 3 2017

dãy trên có số chữ số là:

( 8192 - 2 ) : 2 + 1 = 4096

tổng là:

( 2 + 8192 ) x 4096 : 2 = 16781312

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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28 tháng 2 2017

mik nghĩ là bằng 16383 nhung mà ko biết có đúng ko 

28 tháng 2 2017

đáp án là 16383

chắc chắn 10000000000000000000......%luôn

18 tháng 2 2017

16383

18 tháng 2 2017

Bạn lấy: (8192+1) x SSH :2

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....

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

A=1+2+2^2+...+2^13

=>2A=2+2^2+...+2^14

=>2A-A=2^14-1

=>A=2^14-1

13 tháng 9 2023

trình bày theo cách lớp 6 được không ạ?

20 tháng 10 2016

8192-1):1+1=8192

tổng:8192+1)x8192:2=33558528

k mik nha

21 tháng 10 2016

cảm ơn nha