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In the following AP find the missing term.
2,?,26

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answer is B.

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Detailed Solution

For the given A.P., 2,? , 26

The first and third terms are:

a = 2

a₃ = 26

As we know, for an A.P.,

a_n = a + (n − 1)d

Therefore, putting the values for a₃ here,

a₃ = 2 + (3 - 1)d

26 = 2 + 2d

24 = 2d

d = 12

a₂ = 2 + (2 - 1)12

= 14

Therefore, 14 is the missing term.

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