![](https://rs.olm.vn/images/avt/0.png?1311)
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
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....
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
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
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
16383
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![](https://rs.olm.vn/images/avt/0.png?1311)
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
![](https://rs.olm.vn/images/avt/0.png?1311)
Ta có : A = 1/2 + 1/4 + 1/8 + 1/16 + 1/32 + 1/64
=> 2A = 1 + 1/2 + 1/4 + 1/8 + 1/16 + 1/32
=> 2A - A = 1 - 1/64
=> A = 1 - 1/64
=> A = 63/64
![](https://rs.olm.vn/images/avt/0.png?1311)
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