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nth Term of an AP

100th term of...

Question

$100^{t h}$ term of the sequence 1, 3, 3, 3, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7...is

A

19

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B

13

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C

17

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D

1

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Solution

The correct option is C 19
$\begin{matrix} 1, 3, 3, 3, 5, 5, 5, 5, 5, 7, 7, 7, 7....... 1 o c c u r s 1 t i m e s 3 o c c u r s 3 t i m e s 5 o c c u r s 5 t i m e s a n d s o o n S o, 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 = 100 ∴ 100 t h t e r m i s 19 \end{matrix}$

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