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Pattern Formation

Consider the ...

Question

Consider the sequence 2, 3, 4, 5, 6, 7, 8, 10, 11,... of all positive integer, then $2011^{t h}$ term of this sequence is

A

2056

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B

2011

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C

2013

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D

2060

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Solution

The correct option is D 2013
Here, $a = 2$ and $d = 1$

So, $T_{n} = a + (n - 1) d \Rightarrow T_{2011} = 2 + 2010 = 2012$

But, as the number 9 is missing we could say it is 2010 th integer.
So, Then the answer will be 2013.

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