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2 years ago

14

Một xe máy khởi hành a đến b cách nhau 160 km sau 1 giờ ô tô đi từ b đến a hai xe gặp nhau tại c cách b 72 km biết vận tốc ô tô

hơn vận tốc xe máy là 20 km. Tính vận tốc mỗi xe

1 answer:

Alja [10]2 years ago

5 0

Answer:

74

Step-by-step explanation:

well, you see, потому что я плохая сука-ниггер, да бруддахол лмао

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Find S^20 if the series 1 + 1.1 ..... is a (a) arithmetic (b) geometric

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I'm guessing S^20 is actually referring to the 20th partial sum $S_{20}$ , with

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in the arithmetic case, and

$S_{20}=1+1.1+1.1^2+\cdots+1.1^{18}+1.1^{19}$

in the geometric case.

(a) Combining like terms, we have

$S_{20}=20+0.1(1+2+\cdots+18+19)$

and invoking the formula

$1+2+\cdots+(n-1)+n=\dfrac{n(n+1)}2$

we end up with

$S_{20}=20+0.1\dfrac{19\times20}2=39$

(b) Multiply $S_{20}$ by 1.1, then subtract this from $S_{20}$ :

$1.1S_{20}=1.1+1.1^2+1.1^3+\cdots+1.1^{19}+1.1^{20}$

$S_{20}-1.1S_{20}=-0.1S_{20}=1-1.1^{20}$
$\implies S_{20}=\dfrac{1.1^{20}-1}{0.1}\approx57.275$

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Step-by-step explanation:

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