x-1/39+x-2/38=x-3/37+x-4/36
A = 2 / 1 x 2 x 3 + 2 / 2 x 3 x 4 + 2 / 3 X 4 X 5 +.....+ 2 / 36 x 37 x 38 + 2 / 37 x 38 x 39
Tìm A
Cách 1:
A = \(\frac{2}{1.2.3}\)+ \(\frac{2}{2.3.4}\)+ \(\frac{2}{3.4.5}\)+ .... + \(\frac{2}{36.37.38}\)+ \(\frac{2}{37.38.39}\)
A = \(\frac{3-1}{1.2.3}\)+ \(\frac{4-2}{2.3.4}\)+ \(\frac{5-3}{3.4.5}\)+ ... + \(\frac{38-36}{36.37.38}\)+ \(\frac{39-37}{37.38.39}\)
A = ( \(\frac{3}{1.2.3}\)- \(\frac{1}{1.2.3}\) )+ ( \(\frac{4}{2.3.4}\)-\(\frac{2}{2.3.4}\)) + ... + (\(\frac{38}{36.37.38}\)- \(\frac{36}{36.37.38}\)) + (\(\frac{39}{37.38.39}\)- \(\frac{37}{37.38.39}\))
A = ( \(\frac{1}{1.2}\)- \(\frac{1}{2.3}\)) + (\(\frac{1}{2.3}\) -\(\frac{1}{3.4}\) ) + ... + ( \(\frac{1}{36.37}\)- \(\frac{1}{37.38}\)) + ( \(\frac{1}{37.38}\)- \(\frac{1}{38.39}\))
A = \(\frac{1}{1.2}\)+ (-\(\frac{1}{2.3}\)+ \(\frac{1}{2.3}\)) + (-\(\frac{1}{3.4}\)+ \(\frac{1}{3.4}\)) + ..... + ( -\(\frac{1}{37.38}\)+\(\frac{1}{37.38}\)) - \(\frac{1}{38.39}\)
A = \(\frac{1}{1.2}\)+ 0 + 0 + 0 +... + 0 - \(\frac{1}{38.39}\)
A = \(\frac{1}{1.2}\)- \(\frac{1}{38.39}\)= \(\frac{741}{1482}\)- \(\frac{1}{1482}\)= \(\frac{740}{1482}\)=\(\frac{370}{741}\)
\(\left(\frac{x+1}{39}+1\right)+\left(\frac{x+2}{38}+1\right)=\left(\frac{x+3}{37}+1\right)+\left(\frac{x+4}{36}+1\right)\)
\(\left(\frac{x+1}{39}+1\right)+\left(\frac{x+2}{38}+1\right)=\left(\frac{x+3}{37}+1\right)+\left(\frac{x+4}{36}+1\right)\)
\(\Leftrightarrow\frac{x+40}{39}+\frac{x+40}{38}-\frac{x+40}{37}-\frac{x+40}{36}=0\)
\(\Leftrightarrow\left(x+40\right)\left(\frac{1}{39}+\frac{1}{38}-\frac{1}{37}-\frac{1}{36}\right)=0\)
<=> x+40=0 (vì \(\frac{1}{39}+\frac{1}{38}-\frac{1}{37}-\frac{1}{36}\ne\)0)
<=> x=-40
Vậy x=-40
1 phần 1 x 2 x 3 + 1 phần 2 x 3 x 4 + 1 phần 3 x 4 x 5 + ... + 1 phần 37 x 38 x 39
:)))) :>>> :+ := :- :
\(A=\dfrac{1}{1.2.3}+\dfrac{1}{2.3.4}+....+\dfrac{1}{37.38.39}\)
\(A=\dfrac{1}{2}.\left(\dfrac{2}{1.2.3}+\dfrac{2}{2.3.4}+....+\dfrac{2}{37.38.39}\right)\)\(A=\dfrac{1}{2}\left(\dfrac{3-1}{1.2.3}+\dfrac{4-2}{2.3.4}+....+\dfrac{39-37}{37.38.39}\right)\)
\(A=\dfrac{1}{2}.\left(\dfrac{1}{1.2}-\dfrac{1}{2.3}+\dfrac{1}{2.3}-\dfrac{1}{3.4}+.....\right)\)
số 1 tính nhanh A 78 x 31 78 x 24 78 x 17 22 x 72C 53 x 39 47 x 39 53 x 21 47 x 21B 35 x 34 35 x 86 65 x 75 65 x 45D 27 x 332 68 x 27 73 x 332 68 x 73E 2 x 53 x 12 4 x 6 x 37 2 x 38 x 12F 3 x25 x 8 4 x 6 x 37 2 x 38 x 12
Có bao nhiêu số tự nhiên x thoả mãn x B 2 6 và 68 302 x ?
A. 36 B. 38 C. 37 D. 39
Cho biết : a x 36 x 37 x 38 x 39 = 197b024 không thực hiện phép tính b
có bao nhiêu số tự nhiên x thỏa mãn x - 2 \(\in\) B(6) và 68 < x < 302
A.36.
B.38
C.37.
D.39
x - 2 ∈ B(6)
⇒ x ∈ B(6) + 2
Mà 68 < x < 302
⇒ x ∈ {74; 80; 86; ...; 290; 296}
Số số tự nhiên x thỏa mãn:
(296 - 74) : 6 + 1 = 38 (số)
Chọn A
cho biết a x 36 x 37 x 38 x 39 = 197b024 không thực hiện phép tính hãy tính b
ax36x37x38x39 chia hết cho 9 (36=4x9)
=> 197b024 chia hết cho 9 => 1+9+7+b+2+4=23+b chia hết cho 9 => b=4
x^39+x^36+...+x^3+1
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x^40+x^38+...+x^2+1