Tinh bang cach hop li
1/2+1/4+1/8+1/16+1/32
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5/11+1/2+2/5+6/11+3/4+16/25+5/16
=1441/400
19/4+37/100+1/8+132/25+5/2+37/12
=1933/120
\(-1+6+\left(-11\right)+16+....+996+\left(-1001\right)\)
\(=5+5+....+5+5\)
\(=5.10\)
\(=50\)
-1+6+(-11)+16+.....+996+(-1001)
=[-1+6]+[-11+16]+....+[-991+996]+(-1001)
=5 + 5 +...+ 5 + (-1001)
có 100 số 5
=5 x100+(-1001)
=500+(-1001)
=-501
k cho minh nha
chúc bạn học giỏi
P=1/2+1/4+...+1/256
2P=2.(1/2+1/4+...+1/256)
2P-P=(1+1/2+...+1/128)-(1/2+1/4+...+1/256)
P= 1- 1/256
P= 255/256
chắc chắn đúng.
nhớ **** cho mình nha
1-6+11-16+21-...+91-96+101 =(1-6)+(11-16)+(21-26)+....+(91-96)+101 =(-5)+(-5)+.....+(-5)+101 (có 10 số (-5) ) =(-5).10+101 =-50+101 =51
chung to rang so 444222 co the viet thanh h 2 so tu nhien lien tiep
1 + 2 + 3 + ... + 200 / 6 + 8 + 10 + ... + 34
= (1 + 200) × 200 : 2 / 2 × (3 + 4 + 5 + ... + 17)
= 201 × 100 / 2 × (3 + 17) × 15 : 2
= 201 x 100 / 20 × 15
= 67
444222
= 444 × 1000 + 222
= 111 × 4 × 1000 + 111 × 2
= 111 × 4000 + 111 × 2
= 111 × (4000 + 2)
= 111 × 4002
= 111 × 2 x 3 x 667
= 666 x 667
=> đpcm
Ủng hộ mk nha ^_-
\(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}\)
\(=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}\)
\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}\)
\(=1-\frac{1}{5}\)
\(=\frac{4}{5}\)
\(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+...+\frac{1}{9900}\)
\(=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+...+\frac{1}{98.99}+\frac{1}{99.100}\)
\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+....+\frac{1}{98}-\frac{1}{99}+\frac{1}{99}-\frac{1}{100}+\frac{1}{100}\)
\(=1-\frac{1}{100}\)
\(=\frac{99}{100}\)
\(A=\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}\)
=> \(2A=1+\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}\)
=> \(2A-A=\left(1+\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}\right)-\left(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}\right)\)
=> \(A=1-\frac{1}{32}=\frac{31}{32}\)