Identify the term that will replace the ?
$3, 8, 13, 24, 41, ?$

70

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75

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80

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85

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Solution

The correct option is A $70$
The pattern followed is :
nth term + (n + 1)th term + (n + 1) = (n + 2)thterm
Thus, $1^{s t} t e r m + 2^{n d} t e r m + 2 = 3^{r d} t e r m$ ,
$2^{n d} t e r m + 3^{r d} t e r m + 3 = 4^{t h} t e r m$ and so an.
So, missing term $= 6^{t h} t e r m = 4^{t h} t e r m + 5^{t h} t e r m + 5 = 24 + 41 + 5 = 70$
Hence.option A is the correct answer.

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