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
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
PN
5
KV
13 tháng 6 2023
Đặt A = 1 + 2 + 3 + 4 + ... + 2023
Tổng có 2023 - 1 + 1 số hạng
A = (2023 + 1) × 2023 : 2
= 2047276
-----------------------
Đặt B = 20 + 21 + 22 + ... + 2024
Tổng có: 2024 - 20 + 1 = 2005 số hạng
B = (2024 + 20) × 2005 : 2
= 2049110
------------------------
Đặt C = 2 + 4 + 6 + ... + 2024
Tổng có (2024 - 2) : 2 + 1 = 1012 số hạng
C = (2024 + 2) × 1012 : 2
= 1025156
------------------------
Đặt D = 1 + 2 + 4 + 8 + 16 + ... + 8192
2 × D = 2 + 4 + 8 + 16 + 32 + ... + 16384
2 × D - D = (2 + 4 + 8 + 16 + 32 + ... + 16384) - (1 + 2 + 4 + 8 + 16 + ... + 8192)
= 16384 - 1
= 16383
Vậy D = 16383
TA
13 tháng 6 2023
\(a,A=1+2+3+4+5..+2023\)
Số số hạng:
\(\left(2023-1\right):1+1=2023\)
Tổng :
\(\dfrac{\left(2023+1\right).2023}{2}=2047276\)
\(b,20+21+22+..+2024\)
Số số hạng:
\(\left(2024-20\right):1+1=2005\)
Tổng:
\(\dfrac{\left(2024+20\right).2005}{2}=2049110\)
\(c,2+4+6+..+2024\)
Số số hạng:
\(\left(2024-2\right):2+1=1012\)
Tổng:
\(\dfrac{\left(2024+2\right).1012}{2}=1025156\)
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
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
JK
2
1 tháng 8 2016
M = 1/2 + 1/4 + 1/8 + ... + 1/8192
2M = 1 + 1/2 + 1/4 + ... + 1/4096
2M - M = (1 + 1/2 + 1/4 + ... + 1/4096) - (1/2 + 1/4 + 1/8 + ... + 1/8192)
M = 1 - 1/8192
M = 8191/8192
1 tháng 8 2016
\(M=\frac{8191}{9192}\)
nếu bạn biết xích ma thì mk chỉ được ko ở đây ko viết được
