Question

One term in the number series is wrong. Find out the wrong term.
2, 4, 6, 10, 14, 28, 30
(a) 4
(b) 10
(c) 14
(d) 30
​

Answer 1

In the following series :

There is a difference of 2 in each term but after 10 , 12 should come instead of 14.

Hence

The wrong term = 14

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Answer 2

Answer is (b) 10.

This is a very funny sequence in which the number 2 is first multiplied, then added, then multiplied, then added, then multiplied, then added, and so on.

Thus,

$\large \underline{2} \times 2 = \underline{4} \\ \\ \underline{4}+2=\underline{6} \\ \\ \text{ \underline{6} \times 2=\bold{\underline{12}} } \\ \\ \text{ \bold{\underline{12}}+2=\underline{14} } \\ \\ \underline{14} \times 2 =\underline{28}\\ \\ \underline{28}+2=\underline{30}$

Hence the sequence goes on like,

2, 4, 6, 12, 14, 28, 30, 60, 62, 124, 126, 252, 254, 508, 510, 1020, 1022, 2044,...

Seems that 10 is given in the question instead of 12 in the sequence. So 10 is the answer.

Hence, option (b) is the answer.