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\(A=1-2+3-4+...+97-98+99\)
\(A=\left(1-2\right)+\left(3-4\right)+...+\left(97-98\right)+99\)
\(A=-1+\left(-1\right)+...+\left(-1\right)+99\)
\(A=\left(-1\right).49+99\)
\(A=-49+99\)
\(A=50\)
A = 1 - 2 + 3 - 4 +…+ 97 - 98 + 99
A = ( 1 - 2 ) + ( 3 - 4 ) + ... + ( 97 - 98 ) + 99
A = ( -1 ) + ( -1 ) + ... + ( -1 ) + 99
A = ( -1 ) . 49 + 99
A = 50
bai1 tu -1738 den -16 co so cac so nguyen am la : (1738-16)/2+1=862
C1
B=1+3+5+..+99=50.(99+1)/2=50.50=2500
C=-(2+4+6+...+100)=50.(100+2)/2=50*51=-2550
A=B+C=2500-2550=-50
C2
A=1+(3-2)+(5-4)+...+(99-98)+100
=1+1+1+...+1-100
=1+49-100=-50
B= (5/2.1 + 4/1.11 + 3/11.2 )+(1/2.15 +13/15.4)
B= (55/22 + 8/22 + 3/22) + ( 2/4.15 + 13/15.4 )
B= 3 + 15/15.4 = 3+1/4 = 13/4
Lần sau viết cái đề rõ rõ ra nhs!!!
a) \(A=2+2^2+2^3+................+2^{100}\)
\(\Rightarrow2A=2^2+2^3+2^4+................+2^{100}+2^{101}\)
\(\Rightarrow2A-A=\left(2^2+2^3+..............+2^{100}+2^{101}\right)-\left(2+2^2+............+2^{100}\right)\)
\(\Rightarrow A=2^{101}-2\)
b) \(B=1+3+3^2+..................+3^{2009}\)
\(\Rightarrow3B=3+3^2+3^3+..................+3^{2009}+3^{2010}\)
\(\Rightarrow3B-B=\left(3+3^2+...............+3^{2010}\right)-\left(1+3+3^2+.............+3^{2009}\right)\)
\(\Rightarrow2B=3^{2010}-1\)
\(\Rightarrow B=\dfrac{3^{2010}-1}{2}\)
c) \(C=4+4^2+4^3+................+4^n\)
\(\Rightarrow4C=4^2+4^3+.................+4^n+4^{n+1}\)
\(\Rightarrow4C-C=\left(4^2+4^3+.............+4^n+4^{n+1}\right)-\left(4+4^2+............+4^n\right)\)
\(\Rightarrow3C=4^{n+1}-4\)
\(\Rightarrow C=\dfrac{4^{n+1}-4}{3}\)
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 ^_-
Ta có:
A=2+2^2+2^3+....+2^99+2^100
=>2A=2^2+2^3+2^4+....+2^100+2^101
=>2A-A=(2^2+2^3+2^4+....+2^101)-(2+2^2+2^3+....+2^99)
Phá ngoặc ra, ta được:
A=2^101-2.
P/s:Nếu bạn có máy tính cầm tay, bấm 2^100-2 bằng bao nhiêu nhé !!!Chúc bạn học tốt.
Ta có :
\(A=2+2^2+2^3+...+2^{100}\)
\(\Rightarrow2A=2^2+2^3+2^4+...+2^{101}\)
\(\Rightarrow2A-A=\left(2^2+2^3+2^4+...+2^{100}\right)-\left(2+2^2+2^3+...+2^{100}\right)\)
\(\Rightarrow A=2^{101}-2\)
Vậy \(A=2^{101}-2\)