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Natasha2012 [34]

3 years ago

7

Whoever gets it right ill reward brainlyess answer

2 answers:

zepelin [54]3 years ago

8 0

1. Set up a proportion:
18/1:90/x
2. Cross multiply:
18x=90
3. Solve:
90/18=5
5 hours

irga5000 [103]3 years ago

4 0

The correct answer is 5h

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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

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

So,

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

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