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26 tháng 10 2020

Số các số hạng là:

   (16777216-2):2+1=8388608(số hạng)

Tổng dãy số trên là:

   (16777216+2)x8388608:2=7036875257...

\(2+4+8+16+...+16777216=2^1+2^2+2^3+2^4+...+2^{24}\)

=> sai lớp

mà nếu ko sai lớp thì gần như ko thể tính đc

3 tháng 3 2016

a = 1/2 + 1/4 + 1/8 + 1/16

= ( 1 - 1/2 ) + ( 1/2 -1/4 ) + ( 1/4 - 1/8 ) + ... + ( 1/512 - 1/1024 )

= 1 - 1/1024

= 1023/1024

3 tháng 3 2016

a = 1/2+1/4+1/8+1/16

= (1 - 1/2) + (1/2 -1/4) + (1/4 - 1/8) + ... + (1/512 - 1/1024).

= 1 - 1/1024

= 1023/1024

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

21 tháng 3 2017

2047/2048 nha mình làm ở violympic cấp tỉnh rồi

21 tháng 3 2017

\(\frac{2047}{2048}\) nha bn !!!

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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6 tháng 6 2020

Bài làm

a) 1 + 3 + 5 + 7 + .... + 2005

Số số hạng của tổng là:

( 2005 - 1 ) : 2 + 1 = 1003 ( số hạng )

Tổng của dãy số trên là:

( 2005 + 1 ) x 1003 : 2 = 2009009

24 tháng 2 2015

A=1/2+1/4+1/8+1/16+...(tổng có 10 số hạng)

Ta có:Số hang 1:1/2

         Số hạng 2:1/4=1/2*1/2

         Số hạng 3:1/8=1/2*1/2*1/2

................................

        =>Số hạng 10=1/2*1/2*1/2*...(có 10 thừa số)

                            =1/1024

 => A=1/2+1/4+1/8+1/16+...+1/512 +1/1024(x)

=>2A=1+1/2+1/4+1/8+...+1/256+1/512(xx)

Lấy (xx)-(x) ta có

2A-A=1-1/1024(giản ước hết các số hạng của x)

A=1023/1024

 

15 tháng 2 2017

A=1023/1024

     

25 tháng 1 2016

A = 1/2 + 1/4 + 1/8 + 1/16 + ... + 1/512 + 1/1024

A x 2 = 1 + 1/2 + 1/4 + 1/8 + 1/16 + ... + 1/512

A x 2 - A = 1 + 1/2 - 1/2+ 1/4 -1/4 + 1/8 -1/8 + 1/16 -1/16 + ... + 1/512 - 1/512 - 1/1024

A = 1 - 1/1024

A = 1023/1024