Tính tổng S =1 + 2 + 4 + 8 + 16 + … + 8192 bằng bao nhiêu?

K

Khách

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

Chọn lớp

Chọn môn

Mua vip

TN

Trần Ngọc Quốc Nam

23 tháng 6 2015 - olm

Tính tổng S =1 + 2 + 4 + 8 + 16 + … + 8192 bằng bao nhiêu?

2

KB

Kẻ Bí Mật

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

hà thùy linh

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

Các câu hỏi dưới đây có thể giống với câu hỏi trên

TN

Trần Ngọc Quốc Nam

22 tháng 6 2015 - olm

Tính tổng S =1 + 2 + 4 + 8 + 16 + … + 8192 bằng bao nhiêu?

6

PK

Phạm Kim Cương

18 tháng 2 2017

16383

MB

Mai Bloom Winx

18 tháng 2 2017

Bạn lấy: (8192+1) x SSH :2

NT

nguyễn tuấn anh

7 tháng 12 2018 - olm

Tính tổng :

1 + 2 +4 +8 +16 + 32 + .... +8192

[ trình Bày lời giải ]

2

TT

Trần Thanh Phương

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

NM

Nguyễn Minh Quân

7 tháng 12 2018

16383

10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000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PH

Phan Huy Thái

31 tháng 7 2021 - olm

Bài toán 10 Tính nhanh tổng sau. A = 1 +2 +4 +8 +16 +....8192

2

D

んんĐạ¡

VIP

31 tháng 7 2021

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

ML

Member lỗi thời :>>

31 tháng 7 2021

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

PT

Phạm Thị Kim Anh

22 tháng 8 2023 - olm

Bài 1 : Cho 4 c/s : 1,2,5,7.

A, Viết được bao nhiêu số có 4 c/s khác nhau

B,Tính tổng của các số vứa tìm được

Bài 2 : Cho 5 c/s : 0,2,3,5,7. Có thể lập được bao nhiêu số có 4 c/s khác nhau .

Bài 3 : Tính nhanh :

1/2+1/4+1/8+1/16+1/32+1/64

1

PT

Phạm Thị Kim Anh

22 tháng 8 2023

giúp em với ạ 8:45 em đi học thêm rồi

DK

Duy kha Phạm

15 tháng 6 2016 - olm

Tính nhanh:

A=1+2+4+8+16+...+8192

Giải giúp mình nha!

2

VT

Victory_Chiến thắng

15 tháng 6 2016

Tính 2A

Lấy 2A - A = A = 16383

Đáp số: 16383

NT

Nguyễn Tuấn Minh

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

MT

mã tuấn việt

27 tháng 2 2017 - olm

tính nhanh

1 + 2 + 4 + 8 + 16 + 32 + ..... + 8192

4

DN

Dương Ngọc Viên

28 tháng 2 2017

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

TB

Trương Bình Nhi

28 tháng 2 2017

đáp án là 16383

chắc chắn 10000000000000000000......%luôn

QD

Quang Đoàn Minh

20 tháng 10 2016 - olm

1+2+4+8+16+...+4096+8192

3

RG

Rotten Girl

20 tháng 10 2016

8192-1):1+1=8192

tổng:8192+1)x8192:2=33558528

k mik nha

QD

Quang Đoàn Minh

21 tháng 10 2016

cảm ơn nha

LX

Lê Xuân Thành

18 tháng 8 2015 - olm

K = 1 + 2 + 4 + 8 + 16 + 32 +..... + 8192 = ?

0

PN

Phạm Nguyễn Hải Yến

13 tháng 6 2023 - olm

1+2+3+4 +...+2023

20+21+22+...+2024

2+4+6+...+2024

1+2+4+8+16+....+ 8192

6

KV

Kiều Vũ Linh

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

Thiên An

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:

\(\dfrac{\left(2024+2\right).1012}{2}=1025156\)