3 years ago

A motorist took 3.5 h to travel 210 km what was his averqge speed in km/m

Mathematics

1 answer:

klemol [59]3 years ago

6 0

Answer:

17.74Km/h

Step-by-step explanation:

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124

Step-by-step explanation:

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3 years ago

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2 years ago

The sum of 30 times (1/3)^(n-1) from 1 to infinity

sergeinik [125]

Let

$S_n=\displaystyle1+\frac13+\frac1{3^2}+\cdots+\frac1{3^n}$

Then

$\dfrac13S_n=\displaystyle\frac13+\frac1{3^2}+\frac1{3^3}+\cdots+\frac1{3^{n+1}}$

and

$S_n-\dfrac13S_n=\dfrac23S_n=1-\dfrac1{3^{n+1}}\implies S_n=\dfrac32-\dfrac1{2\cdot3^n}$

and as $n\to\infty$ , we end up with

$\displaystyle\lim_{n\to\infty}S_n=\lim_{n\to\infty}\sum_{i=1}^{n+1}\frac1{3^{i-1}}=\lim_{n\to\infty}\left(\frac32-\frac1{2\cdot3^n}\right)=\frac32$

So we have

$\displaystyle\sum_{n=1}^\infty30\left(\frac13\right)^{n-1}=30\cdot\frac32=45$

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3 years ago

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Answer:

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3 years ago

A motorist took 3.5 h to travel 210 km what was his averqge speed in km/m​

A motorist took 3.5 h to travel 210 km what was his averqge speed in km/m