What is the $10^{t h}$ term of the G.P. with first term $3$ and common ratio $2$ ?

1536

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2536

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3536

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4536

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Solution

The correct option is B $1536$
We know the formula,
$t_{n} = a r^{n - 1}$
Here $n = 10$
Common ratio $= 2$ and $a = 3$
$t_{10} = 3 \times (2)^{10 - 1}$
$t_{10} = 3 \times (2)^{9}$
$t_{10} = 1536$

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