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Đặt \(A=\frac{1}{1.2.3.4}+\frac{1}{2.3.4.5}+...+\frac{1}{27.28.29.30}\)
\(\Rightarrow A=\frac{1}{4}\left(\frac{1}{1.2.3}-\frac{1}{2.3.4}+\frac{1}{2.3.4}-\frac{1}{3.4.5}+...+\frac{1}{27.28.29}-\frac{1}{28.29.30}\right)\)
\(\Rightarrow A=\frac{1}{4}\left(\frac{1}{6}-\frac{1}{24360}\right)\)
\(\Rightarrow A=\frac{1353}{32480}\)
Ta có: \(A=\frac{4}{5.8}+\frac{4}{8.11}+\frac{4}{11.14}+...+\frac{4}{305.308}\)
\(\frac{3}{4}A=\frac{3}{5.8}+\frac{3}{8.11}+\frac{3}{11.14}+...+\frac{3}{305.308}\)
\(\frac{3}{4}A=\frac{1}{5}-\frac{1}{8}+\frac{1}{8}-\frac{1}{11}+...+\frac{1}{305}-\frac{1}{308}\)
\(\frac{3}{4}A=\frac{1}{5}-\frac{1}{308}\)
\(\frac{3}{4}A=\frac{303}{1540}\)
\(\Rightarrow A=\frac{303}{1450}\div\frac{3}{4}\)
\(\Rightarrow A=\frac{101}{385}\)
Nhớ k mình nha.
\(A=\frac{4}{5.8}+\frac{4}{8.11}+\frac{4}{11.14}+...+\frac{4}{305.308}\)
\(\frac{3}{4}A=\frac{3}{5.8}+\frac{3}{8.11}+\frac{3}{11.14}+...+\frac{3}{305.308}\)
\(\frac{3}{4}A=\frac{1}{5}-\frac{1}{8}+\frac{1}{8} -\frac{1}{11}+...+\frac{1}{305}-\frac{1}{308}\)
\(\frac{3}{4}A=\frac{1}{5}-\frac{1}{308}=\frac{303}{1540}\)
\(A=\frac{308}{1540}:\frac{3}{4}=\frac{4}{15}\)
A = \(\frac{189.123+9.4567.2+3.5310.6}{1+4+7+10+...+55+58-409}\)
A = \(\frac{189.123+18.4567+18.5310}{\left[\left(58-1\right):3+1\right].\left(58+1\right):2-409}\)
A = \(\frac{23247+18\left(4567+5310\right)}{590-409}\)
A = \(\frac{23247+177786}{181}\)
A = 201033/181
Tử số vt thừa số 9 ở 189 r
TS=18(123+4567+5310)
= 18.10000=180000
MS=1+4+7+...+58-409
=59.20:2-409
=181
A=TS/MS=180000/181
Hok tốt
\(a.x^5=32=2^5\Rightarrow x=5\)
\(b.9^x=81=3^4\Rightarrow x=4\)
\(c.x^4=16=2^4\Rightarrow x=4\)
T ủng hộ mk nha ^...^ thank you
a, x5 = 32
x5 = 25
Vậy x = 2
b, 9x = 81
9x = 92
Vậy x = 2
c, x4 = 16
x4 = 24
Vậy x = 2
A:2=1/2-1/2+1/3-1/3+1/4-1/4+...+1/10-1/10
A:2=1/2-1/10
A=2/5:2=1/5