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3 years ago

9

Eduardo spend 35% of his time at the theme park on a roller coaster.if he was there for 8 hours ,how much time did he spend on r

oller coasters?

1 answer:

dalvyx [7]3 years ago

8 0

He was there 2.8 hours

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Anna35 [415]

Answer:

Let 'a' be the first term, 'r' be the common ratio and 'n' be the number of terms

Series = 2+6+18.......= 2+2•3¹+ 2•3².......= 728

Now,

$Sum = \frac{a( {r}^{n} - 1) }{(r - 1)} \\$

So,

$\frac{a( {r}^{n} - 1)}{(r - 1)} = 728 \\ \frac{2( {3}^{n} - 1) }{(3 - 1)} = 728 \\ \frac{2( {3}^{n} - 1) }{2} = 728 \\ {3}^{n} - 1 = 728 \\ {3}^{n}=728+1\\ {3}^{n} = 729 \\ {3}^{n} = {3}^{6} \\ \boxed{ n = 6}$

Therefore, number of terms is 6

6 is the right answer.

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Regroup
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