tính:
5+52+53+....+52000
help me!!
K
Khách
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KV
5 tháng 11 2023
A = 5 + 5² + 5³ + ... + 5²⁰²³
⇒ 5A = 5² + 5³ + 5⁴ + ... + 5²⁰²⁴
⇒ 4A = 5A - A
= (5² + 5³ + 5⁴ + ... + 5²⁰²⁴) - (5 + 5² + 5³ + ... + 5²⁰²³)
= 5²⁰²⁴ - 5
⇒ A = (5²⁰²⁴ - 5)/4
5 tháng 11 2023
A = 5 + 5² + 5³ + ... + 5²⁰²³
⇒ 5A = 5² + 5³ + 5⁴ + ... + 5²⁰²⁴
⇒ 4A = 5A - A
= (5² + 5³ + 5⁴ + ... + 5²⁰²⁴) - (5 + 5² + 5³ + ... + 5²⁰²³)
= 5²⁰²⁴ - 5
⇒ A = (5²⁰²⁴ - 5)/4
NT
Nguyễn Thị Thương Hoài
Giáo viên
VIP
7 tháng 11 2023
Đề bài thiếu yêu cầu cụ thể em nhé. em cập nhật lại câu hỏi để được sự hỗ trợ tốt nhất cho tài khoản olm vip
KV
18 tháng 10 2023
A = 5 + 5² + 5³ + ... + 5⁴⁹ + 5⁵⁰
⇒ 5A = 5² + 5³ + 5⁴ + ... + 5⁵⁰ + 5⁵¹
⇒ 4A = 5A - A
= (5² + 5³ + 5⁴ + ... + 5⁵⁰ + 5⁵¹) - (5 + 5² + 5³ + ... + 5⁴⁹ + 5⁵⁰)
= 5⁵¹ - 5
⇒ A = (5⁵¹ - 5) : 4
K
24 tháng 12 2021
51. She/ study/ hard/ in order/ pass/exam.
=> She studies hard in order to pass the exam.
52. Mary/ asked/ me/ go/ market/ for/ her.
=> Mary asked me to go to the market for her.
53. Sarah/ have/ live/ Bien Hoa city/ for/ 5 years.
=> Sarah have lived in Bien Hoa city for 5 years.
54. What/ they/ going/ do/ this weekend?
=> Waht are they going to do in this weekend?
55. How long/ have/ you/ study/ English?
=> How long have you studied English?
56. She/ old/ enough/ put on/ clothes/ herself.
=> She is old enough to put on clothes by herself.
57. There/ used / be/ theatre/ this neighborhood.
=> There used to be a theatre in this neighboorhood.
58. My mother/ told/ me/ not/ play/ computers/ games/ more/ 2 hours.
=> My mother told me not to play computers games more than 2 hours.
59. My father/ humorous/ and/ enjoy/ tell/ jokes.
=> My father is humorous and he enjoys telling jokes.
60. Minh/ same age/ Hoa.
=> Minh is as the same age as Hoa.
TH
24 tháng 12 2021
51. She/ study/ hard/ in order/ pass/exam.
=> She studies hard in order to pass the exam.
52. Mary/ asked/ me/ go/ market/ for/ her.
=> Mary asked me to go to the market for her.
53. Sarah/ have/ live/ Bien Hoa city/ for/ 5 years.
=> Sarah has lived in Bien Hoa city for 5 years.
54. What/ they/ going/ do/ this weekend?
=> What are they going to do in this weekend?
55. How long/ have/ you/ study/ English?
=> How long have you studied English?
56. She/ old/ enough/ put on/ clothes/ herself.
=> She is old enough to put on clothes by herself.
57. There/ used / be/ theatre/ this neighborhood.
=> There used to be a theatre in this neighboorhood.
58. My mother/ told/ me/ not/ play/ computers/ games/ more/ 2 hours.
=> My mother told me not to play computers games more than 2 hours.
59. My father/ humorous/ and/ enjoy/ tell/ jokes.
=> My father is humorous and he enjoys telling jokes.
60. Minh/ same age/ Hoa.
=> Minh is as the same age as Hoa.
MN
21 tháng 1 2021
1-2+3-4+5-6+...+51-52+53
=(1-2)+(3-4)+...+(51-52)+53
=(-1)+(-1)+...+(-1)+53
=(-1)×26+53
=-26+53
=27
21 tháng 1 2021
1-2+3-4+5-6+...+51-52+53
=(1-2)+(3-4)+...+(51-52)+53
=(-1)+(-1)+...+(-1)+53
=(-1)×26+53
=-26+53
=27
14 tháng 11 2023
a: \(7\cdot\left(-2\right)^3-12\cdot\left(-5\right)+\left(-17\right)\)
\(=7\cdot\left(-8\right)+60-17\)
=-56+43
=-13
b: \(1632-37-\left(-157\right)-163-1532\)
\(=\left(1632-1532\right)-37-163+157\)
=100-200+157
=57
c: \(47\cdot\left(-918\right)+\left(-53\right)\cdot918\)
\(=918\left(-47\right)+\left(-53\right)\cdot918\)
\(=918\cdot\left(-47-53\right)\)
\(=918\left(-100\right)=-91800\)
d: \(\left(-52\right)\cdot\left(-281\right)+\left(-52\right)\cdot181\)
\(=\left(-52\right)\left(-281+181\right)\)
\(=\left(-52\right)\cdot\left(-100\right)=5200\)
13 tháng 12 2023
a: 7⋅(−2)3−12⋅(−5)+(−17)7⋅(−2)3−12⋅(−5)+(−17)
=7⋅(−8)+60−17=7⋅(−8)+60−17
=-56+43
=-13
b: 1632−37−(−157)−163−15321632−37−(−157)−163−1532
=(1632−1532)−37−163+157=(1632−1532)−37−163+157
=100-200+157
=57
c: 47⋅(−918)+(−53)⋅91847⋅(−918)+(−53)⋅918
=918(−47)+(−53)⋅918=918(−47)+(−53)⋅918
=918⋅(−47−53)=918⋅(−47−53)
=918(−100)=−91800=918(−100)=−91800
d: (−52)⋅(−281)+(−52)⋅181(−52)⋅(−281)+(−52)⋅181
=(−52)(−281+181)=(−52)(−281+181)
=(−52)⋅(−100)=5200=(−52)⋅(−100)=5200
PT
1
CM
10 tháng 3 2019
- Đặt tính: Viết phép tính sao cho các chữ số cùng hàng thẳng cột với nhau.
- Tính: Thực hiện cộng hoặc trừ theo thứ tự từ phải sang trái.
2 tháng 1 2023
5A=5+5^2+...+5^2023
=>4A=5^2023-1
=>\(A=\dfrac{5^{2023}-1}{4}\)
\(2B-A=\dfrac{5^{2023}}{4}-\dfrac{5^{2023}-1}{4}=\dfrac{1}{4}\)
H9
HT.Phong (9A5)
CTVHS
13 tháng 11 2023
a) \(S=5+5^2+...+5^{2006}\)
\(5S=5^2+5^3+...+5^{2007}\)
\(5S-S=5^2+5^3+5^4+...+5^{2007}-5-5^2-5^3-...-5^{2006}\)
\(4S=5^{2007}-5\)
\(S=\dfrac{5^{2007}-5}{4}\)
b) \(S=5+5^2+5^3+...+5^{2006}\)
\(S=\left(5+5^4\right)+\left(5^2+5^5\right)+...+\left(5^{2003}+5^{2006}\right)\)
\(S=5\cdot\left(1+5^3\right)+5^2\cdot\left(1+5^3\right)+...+5^{2003}\cdot\left(1+5^3\right)\)
\(S=\left(1+5^3\right)\cdot\left(5+5^2+...+5^{2003}\right)\)
\(S=126\cdot\left(5+5^2+...+5^{2003}\right)\) ⋮ 126
Đặt \(T=5+5^2+5^3+...+5^{2000}\)
\(5T=5^2+5^3+5^4+...+5^{2001}\)
Mà \(5T-T=4T=5^{2001}-5\Rightarrow T=\frac{5^{2001}-5}{4}\)