a) 17.(15-16)+16.(17-20)

= 17 . 15 - 17.16 + 16.17 - 16.20

= 17 . 15 - 16.20

= 255 - 320

= -65

# HOK TỐT #

thanks

Trả lời :

17 . (15 - 16) + 16 . (17 - 20) = 17 . 15 - 17 . 16 + 16 . 17 - 16 . 20 = 17 . 15 - 16 . 20 = 255 - 320 = - 65

P/s : Phía cuối k chắc_

~Std well~

#Dương

11 x 12 + 12 x 13 + 13 x 14 + 14 x 15 + 15 x 16 + 16 x 17 + 17 x 18 + 18 x 19 + 19 x 20 + 20 x 21

= 12 x ( 11 + 13 ) + 14 x ( 13 + 15 ) + 16 x ( 15 + 17 ) + 18 x ( 17 + 19 ) + 20 x 21

= 12 x 24 + 14 x 28 + 16 x 32 + 18 x 36 + 420

= 288 + 392 + 512 + 648 + 420

= ( 288 + 392 ) + ( 512 + 648 ) + 420 

= 680 + 1160 + 420

= 1840 + 420

= 2260

tk nha

= 

Ta có:

    11 x 12 + 12 x 13 + 13 x 14 + 14 x 15 + 15 x 16 + 16 x 17 + 17 x 18 + 18 x 19 + 19 x 20 + 20 x 21

= 12 x ( 11 + 13 ) + 14 x ( 13 + 15 ) + 16 x ( 15 + 17 ) + 18 x ( 17 + 19 ) + 20 x 21

= 12 x 24 + 14 x 28 + 16 x 32 + 18 x 36 + 420

= 288 + 392 + 512 + 648 + 420

= ( 288 + 392 ) + ( 512 + 648 ) + 420 

= 680 + 1160 + 420

= 1840 + 420

= 2260

#Mạt Mạt#

   11 x 12 + 12 x 13 + 13 x 14 + 14 x 15 + 15 x 16 + 16 x 17 + 17 x 18 + 18 x 19 + 19 x 20 + 20 x 21

= 12 x ( 11 + 13 ) +  14 x ( 13 + 15 ) + 16 x ( 15 + 17 ) + 18 x ( 17 + 19 ) + 20 x ( 19 + 21 )

= 12 x 24 + 14 x 28 + 16 x 32 + 18 x 36 + 20 x 40

= 288 + 392 + 512 + 648 + 800

= ( 288 + 392 ) + ( 512 + 648 ) + 800

= 680 + 1160 + 800

= 2640

10 + 11 + 12 + 13 + 14 + 15 + 15 + 16 + 17 + 18 + 19 + 20

= ( 10 + 20 ) + ( 11 + 19 ) + ( 12 + 18 ) + ( 13 + 17 ) + ( 14 + 16 ) + ( 15 + 15 )

= 30 + 30 + 30 + 30 + 30 +30 

= 30 x 6

= 180 .

10+11+12+13+14+15+16+17+18+19+20=165

Cách 1 : 10 + 11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 + 20

= (10 + 20) + (11 + 19) + (12 + 18) + (13 + 17) + (14 + 16) + 15

= 30 + 30 + 30 + 30 + 30 + 15

= 150 + 15

= 165

Cách 2 : 10 + 11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 + 20

= \(\left(\frac{20-10}{1}+1\right)\times\frac{20+10}{2}\) 

= 11 x 15 

= 165

a)    \(\frac{3}{16}+\frac{4}{15}+\frac{5}{16}+\frac{1}{15}\)

\(=\left(\frac{3}{16}+\frac{5}{16}\right)+\left(\frac{4}{15}+\frac{1}{15}\right)\)

\(=\frac{1}{2}+\frac{1}{3}\)

\(=\frac{5}{6}\)

b)   \(\frac{6}{7}\times\frac{8}{15}\times\frac{7}{6}\times\frac{15}{16}\)

\(=\left(\frac{6}{7}\times\frac{7}{6}\right)\times\left(\frac{8}{15}\times\frac{15}{16}\right)\)

\(=1\times\frac{1}{2}=\frac{1}{2}\)

c)   \(\frac{19}{20}\times\frac{13}{21}+\frac{9}{20}\times\frac{8}{21}\)

\(=\frac{19\times13}{20\times21}+\frac{9\times8}{20\times21}\)

\(=\frac{247}{420}+\frac{72}{420}\)

\(=\frac{319}{420}\)

còn phần D đâu bn 

tích cho chị nha

 câu a)     = 5/6

 câu b = 1/2

 câu c = 319/420

Gọi \(S=\frac{15}{15\cdot16}+\frac{15}{16\cdot17}+..+\frac{15}{19\cdot20}\)

\(\Leftrightarrow S=1-\frac{15}{16}+\frac{15}{16}-\frac{15}{17}+...+\frac{15}{19}-\frac{15}{20}\)

\(\Leftrightarrow S=1-\frac{15}{20}=\frac{1}{4}<\frac{1}{3}\)

Vậy S< \(\frac{1}{3}\)

--------------------Good luck------------------------

=165 nnha

10+11+12+13+14+15+16+17+18+19+20=(10+20)+(11+19)+(12+18)+(13+17)+(14+16)+15

                                                          =30+30+30+30+30+15

                                                         =30*5+15=150+15=165

10+11+12+13+14+15+16+17+18+19+20

= (10+20)+ (11+19)+(12+18)+(13+17)+(14+16)+15

= 30+30+30+30+30+15

= 30 x 5 +15

=150+15

=165

S=15-16+17-18+19-20+......+2014-2015

  =(15-16)+(17-18)+(19-20)+......+(2014-2015) 

  = -1+-1+-1+...+-1 (có 1000 số -1)

  = -1.1000

  = -1000

Nhận xét thấy

15 - 16 có số đầu lẻ

17 - 18 có số đầu lẻ

..................

2014 - 2015 có số đầu chẵn (sau quy tắc)

Vậy bạn nên xem lại đề 

s=15+17+19+...+2014-(16+18+20+.......+2015)

S=1014000+2014-(1015000+2015)

S=1016014-1017015