Tính nhanh B=4/1.4+4/4.7+...+4/2014.2017

tinh nhanh 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Theo dõi Vi phạm

Trả lời (1)

\(B=\dfrac{4}{1\cdot4}+\dfrac{4}{4\cdot7}+...+\dfrac{4}{2014\cdot2017}\)

\(=\dfrac{4}{3}\left(\dfrac{3}{1\cdot4}+\dfrac{3}{4\cdot7}+...+\dfrac{3}{2014\cdot2017}\right)\)

\(=\dfrac{4}{3}\left(1-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{7}+...+\dfrac{1}{2014}-\dfrac{1}{2017}\right)\)

\(=\dfrac{4}{3}\left(1-\dfrac{1}{2017}\right)=\dfrac{4}{3}\cdot\dfrac{2016}{2017}=\dfrac{8064}{6051}\)

bởi Thảo Phương 15/12/2018

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11/12/2022 | 1 Trả lời
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11/12/2022 | 1 Trả lời
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12/12/2022 | 1 Trả lời
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Táinmrnene

13/12/2022 | 0 Trả lời
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17/12/2022 | 1 Trả lời
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tìm số tự nhiên a nhỏ nhất biết a:3, a:5, a:7 có số dư lần lượt là 2,4,6

18/12/2022 | 1 Trả lời
Một mảnh đất hình vuông ABCD được mở rộng về bốn phía, mỗi phía 5m thành hình vuông. Phần diện tích tăng thêm là (400m^2). Tính diện tích và chu vi của hình vuông ban đầu?

20/12/2022 | 0 Trả lời
Tìm ƯCLN\((n^2+n; 2n+1)\)

21/12/2022 | 0 Trả lời
Tìm ước của -12,-10,17,-11.

a) Tìm ước của -12,-10,17,-11

b) tìm ước chung (-16,24)

c) tìm bốn bội của -7,8

24/12/2022 | 1 Trả lời
Hãy dùng sáu số 5, dấu các phép tính, dấu ngoặc để viết thành dãy tính có kết quả là: 100; 50; 15.

Hãy dùng sáu số 5, dấu các phép tính, dấu ngoặc để viết thành dãy tính có kết quả là 100; 50; 15.

24/12/2022 | 0 Trả lời
Tính: 125.(-24)+ 24.225

125.(-24)+ 24.225

26/12/2022 | 2 Trả lời
Tìm các số nguyên n sao cho 2n chia hết cho n+5.

Tìm các số nguyên n sao cho 2n chia hết cho n+5

27/12/2022 | 0 Trả lời
Chứng minh \(2 + {2^2} + {2^3} + {2^4} + {2^5} + {2^6} + {2^7} + {2^8}\) chia hết cho -6

Chứng minh \(2 + {2^2} + {2^3} + {2^4} + {2^5} + {2^6} + {2^7} + {2^8}\) chia hết cho -6

10/01/2023 | 2 Trả lời
Tính: -1 + 2+ ( -3 ) + 4 (-5 )+... + 98 ( -99)

-1 + 2+ ( -3 ) + 4 (-5 )+... + 98 ( -99)

giúp tui giới mọi người SOS

13/01/2023 | 2 Trả lời
Tìm giá trị nhỏ nhất của các biểu thức sau: A = ( x - 2 ) ² + ( y + 3) ²

Bài 2 : Tìm giá trị nhỏ nhất của các biểu thức sau a) A = ( x - 2 ) ² + ( y + 3) ² b) B = ( 5 - x ) ² + ( y -1) ² - 5 Bài 3

d) ( x ² + 1) x ( x - 4) > 0

26/01/2023 | 0 Trả lời
hảy giúp mình với

a) x-1/9 +1/3=1/y+2

b) 3x+1/18+2y/12=2/9 và x-y= -1

09/02/2023 | 0 Trả lời
giải hộ mình

Tìm 2 phân số có cùng mẫu là 17, Tử là các số tự nhiên liên tiếp mà là phân số nằm giữa đó

10/02/2023 | 0 Trả lời
Câu hỏi toán

Tìm các số nguyên x,y: 25-y^2=8.(x-2023)^2 Giải dễ hiểu tí

11/02/2023 | 0 Trả lời
trả lời hộ mình câu hỏi

cho s = 3 phần 10 +3 phần 11 +3 phần 12 +3 phần 13 + 3 phần 14 chứng tỏ rằng 1 < s < 2 từ đó suy ra s khong phải số tự nhiên

20/02/2023 | 0 Trả lời

ADSENSE

ADMICRO

Tính nhanh B=4/1.4+4/4.7+...+4/2014.2017

Trả lời (1)

Các câu hỏi mới

Tìm số tự nhiên để biểu thức: a=15/2n+1 có giá trị là 1 số tự nhiên

Giải: (xleft( {x - 3} ight) - {left( {3 - x} ight)^2} = 27)

Tìm số tự nhiên n biết n+2 chia hết cho n-1

Tìm STNnhỏ nhất có 3 chữ số sao cho chia 14 dư 5, chia 13 dư 8

BT5: Tính tổng

Cho biết n và 2n+3 không nguyên tố cùng nhau, tìm ƯCLN của n và 2n+3

(x 1)(x 2)(x-3)=0

Tìm số nguyên x biết

Tìm x,y nguyên:

Biết a là số dư khi chia một số bất kì cho 7, a không thể nhận giá trị nào?

Tìm x, y thuộc Z: 4x-3)(y-4)=17

Tìm số tự nhiên a nhỏ nhất biết a:3, a:5, a:7 có số dư lần lượt là 2,4,6

Một mảnh đất hình vuông ABCD được mở rộng về bốn phía, mỗi phía 5m thành hình vuông. Phần diện tích tăng thêm là (400m^2). Tính diện tích và chu vi của hình vuông ban đầu?

Tìm ƯCLN\((n^2+n; 2n+1)\)

Tìm ước của -12,-10,17,-11.

Hãy dùng sáu số 5, dấu các phép tính, dấu ngoặc để viết thành dãy tính có kết quả là: 100; 50; 15.

Tính: 125.(-24)+ 24.225

Tìm các số nguyên n sao cho 2n chia hết cho n+5.

Chứng minh \(2 + {2^2} + {2^3} + {2^4} + {2^5} + {2^6} + {2^7} + {2^8}\) chia hết cho -6

Tính: -1 + 2+ ( -3 ) + 4 (-5 )+... + 98 ( -99)

Tìm giá trị nhỏ nhất của các biểu thức sau: A = ( x - 2 ) ² + ( y + 3) ²

hảy giúp mình với

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