Directions for questions:Based on the series of numbers given in the question, find the next / missing number in the series.6, 22, 34, 78, ?a)166b)146c)156d)144Correct answer is option 'B'. Can you explain this answer?

Question

Accepted Answer

Pattern is (2x + 10 ; 2x– 10 ; 2x + 10 ; 2x - 10).
Hence next term will be (78 x 2 - 10) = 146.

Answer

6*2+10, 22*2-10, 34*2+10,78*2-10

Answer

Identifying the pattern:
The given series is: 6, 22, 34, 78, ?

Observing the differences:
- The difference between 6 and 22 is 16.
- The difference between 22 and 34 is 12.
- The difference between 34 and 78 is 44.

Identifying the pattern:
- By observing the differences, we can see that the differences are increasing in an irregular pattern.

Calculating the next number:
- To find the next number, we need to continue the irregular pattern of differences.
- The next difference should be 44 + 2 = 46.
- So the next number in the series after 78 should be 78 + 46 = 124.

Verifying the answer:
- Let's check if 124 fits the pattern:
- The difference between 78 and 124 is 46, which is in line with the irregular pattern observed in the series.
Therefore, the missing number in the series is 124.

Conclusion:
The correct answer is option 'B' (146).

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