Question

Complete the series: 2, 2, 6, 10, 12, 30, 20, ??​

Answer 1

Answer: 68

Step-by-step explanation:

• This is a reasoning question which requires logic.
• Here the number at odd position follows different pattern and the number at even place follows even pattern.
• Since we have to find the number at even place so we write the sequence of even places as 2,10,30,??
• We can see here that the logic applied here is

        $1^{3}+1=1\\ 2^{3}+2=10\\ 3^{3}+3=30$

• So,the next term will be $4^{3}+4=68$.
• Hence,the required term is 68.

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Answer 2

Answer:

The correct answer of this question is $68.$

Step-by-step explanation:

Given - 2, 2, 6, 10, 12, 30, 20, ?

To Find - Complete the series.

The pattern for a number in an even position differs from the pattern for a number in an odd place.

Hence, the difference between the above-mentioned pattern is,

$2^{3} + 2 = 8 + 2 = 10\\3^{3} + 3 = 27 + 3 = 30$

$4^{3} + 4 = 64 + 4 = 68$

The numbers of an odd place, 2,6,12,20, 68

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