1-1=
2-8=
6-2=
NHANH NHA BẠN
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Trả lời :
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10
= ( 1 + 9 ) + ( 2 + 8 ) + ( 3 + 7 ) + ( 4 + 6 ) + 10 + 5
= 10 + 10 + 10 + 10 + 10 + 5
= 10 x 5 + 5
= 50 + 5
= 55
~Moon~
kết quả là: 10890777777777777122 nha bạn
~~~@# chúc bạn lun họk tốt ~~@#
Số số hạng là:
( 100 - 2 ) : 2 + 1 = 50
Tổng là:
( 100 + 2 ) x 50 : 2 = 2550
Đáp số: 2550
Đặt \(A=\frac{1}{4^2}+\frac{1}{6^2}+\frac{1}{8^2}+...+\frac{1}{\left(2n\right)^2}\) ta có :
\(A=\frac{1}{\left(2.2\right)^2}+\frac{1}{\left(2.3\right)^2}+\frac{1}{\left(2.4\right)^2}+...+\frac{1}{\left(2n\right)^2}\)
\(A=\frac{1}{2^2.2^2}+\frac{1}{2^2.3^2}+\frac{1}{2^2.4^2}+...+\frac{1}{2^2.n^2}\)
\(A=\frac{1}{2^2}.\frac{1}{2^2}+\frac{1}{2^2}.\frac{1}{3^2}+\frac{1}{2^2}.\frac{1}{4^2}+...+\frac{1}{2^2}.\frac{1}{n^2}\)
\(A=\frac{1}{2^2}\left(\frac{1}{2^2}+\frac{1}{3^2}+\frac{1}{4^2}+...+\frac{1}{n^2}\right)\)
\(A< \frac{1}{2^2}\left(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{\left(n-1\right)n}\right)\)
\(A< \frac{1}{2^2}\left(\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{n-1}-\frac{1}{n}\right)\)
\(A< \frac{1}{2^2}\left(1-\frac{1}{n}\right)< \frac{1}{2^2}.1\)
\(A< \frac{1}{2^2}=\frac{1}{4}\)
Vậy \(A< \frac{1}{4}\)
Chúc bạn học tốt ~
\(\frac{1}{4^2}+\frac{1}{6^2}+\frac{1}{8^2}+...+\frac{1}{\left(2n\right)^2}< \frac{1}{4}\)
\(=\frac{1}{4^2}+\frac{1}{6^2}+\frac{1}{8^2}+...+\frac{1}{\left(2n\right)^2}< \frac{1}{2\cdot4}+\frac{1}{4\cdot6}+\frac{1}{6\cdot8}+...+\frac{1}{\left(2n-2\right)\cdot2n}\)
\(=\left(\frac{2}{2\cdot4}+\frac{2}{4\cdot6}+\frac{2}{6\cdot8}+...+\frac{2}{\left(2n-2\right)\cdot2n}\right)\cdot\frac{1}{2}\)
\(=\left(\frac{1}{2}-\frac{1}{4}+\frac{1}{4}-\frac{1}{6}+\frac{1}{6}-\frac{1}{12}+...+\frac{1}{2n-2}-\frac{1}{2n}\right)\cdot\frac{1}{2}\)
\(=\left(\frac{1}{2}-\frac{1}{2n}\right)\cdot\frac{1}{2}=\frac{1}{4}-\frac{1}{2n\cdot2}< 1\)
\(\Rightarrow\frac{1}{4^2}+\frac{1}{6^2}+\frac{1}{8^2}+...+\frac{1}{\left(2n\right)^2}< \frac{1}{4}\left(đpcm\right)\)
A= ( 1+1/2+1/3+1/4+1/5+1/6+1/7+1/8+1/9+1/10)+(1+2+1+2+3+1+2+3+4+1+2+3+4+5+1+2+3+4+5+6+1+2+3+4+5+6+7+1+2+3+4+5+6+7+8+1+2+3+4+5+6+7+8+9+1+2+3+4+5+6+7+8+9+10
A= tự phân tích nha :)
\(A=2\times4+4\times6+...+98\times100\)
\(A=2.2+2.12+...+2.149\)
\(A=2.\left(2+12+...+149\right)\)
Tự làm nốt( dấu x = dấu chấm )
\(\frac{2}{3}\) \(-\) \(\left(\frac{1}{6}+\frac{1}{8}\right)\)
\(=\) \(\frac{2}{3}\) \(-\) \(\frac{7}{24}\)
\(=\) \(\frac{16}{24}\) \(-\) \(\frac{7}{24}\)
\(=\) \(\frac{9}{24}\)
\(=\)\(\frac{3}{8}\)
\(Học\) \(tốt!\)
1-1=0
2-8=-6
6-2=3
1 - 1 = 0
2 - 8 = -6
6 - 2 = 3
Chúc bạn học giỏi ~~~