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Sequence

The 4th ter...

Question

The $4^{th}$ term in the sequence whose $n^{th}$ term is $a_{n} = 2^{n}$

A

16

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B

32

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C

8

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D

None of these

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Solution

The correct option is A $16$
$\begin{matrix} A c c o r d i n g t o q u e s t i o n : w e h a v e a_{n} = 2^{n} s u b s t i t u t i n g n = 1, 2, 3, 4. w e o b t a i n, a_{1} = 2^{1} = 2 a_{2} = 2^{2} = 4 a_{3} = 2^{2} = 8 a_{4} = 2^{4} = 16 s o t h a t t h e r e q u i r e d 4 t h t e r m s i s 16. a n d t h e c o r r e c t o p t i o n i s A . \end{matrix}$

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