$8^{th}$ term of the GP 1,3,9,.... = ______

2187

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729

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6561

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2041

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Solution

The correct option is A 2187
Given $a_{1} = 1, a_{2} = 3$ and $n = 8.$

Now, $r = \frac{a_{2}}{a_{1}} = \frac{3}{1} = 3.$

We know that $a_{n} = a_{1} r^{n - 1} .$
$\Rightarrow a_{8} = a_{1} \times r^{8 - 1} = 1 \times 3^{8 - 1} = 1 \times 3^{7} = 2187$

Thus, the eighth term of the given GP is 2187.

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