Question

Hurry I will mark brainlist if you help with me with these 2 simple questions

Answer 1

The first question :

$a(n) = a(1) \times {q}^{n - 1}$

In which :

$q = \frac{a(n)}{a(n - 1)}$

Thus ;

$a(12) = a(1) \times {q}^{12 - 1}$

$a(1) = 6 \: \: \: and \: \: \: q = \frac{18}{6} = 3$

So :

$a(12) = 6 \times {3}^{11}$

$a(12) = 6 \times 177147$

$a(12) = 1062882$

which mean the third option is the correct one.

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Second question :

As we told in the previous question we have:

$a(8) = a(1) \times {q}^{7}$

$a(1) = 100 \: \: \: and \: \: \: q = \frac{20}{100} = \frac{1}{5}$

So :

$a(8) = 100 \times ({ \frac{1}{5} })^{7}$

$a(8) = 100 \times \frac{1}{78125}$

$a(8) = \frac{100}{78125}$

$a(8) = 0.00128$

So the third option is the correct one again .

There u go...

Have a great day ❤