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Complete the series: 2, 5, 9, _________, 20, 27
  • a)
    16
  • b)
    18
  • c)
    24
  • d)
    14
Correct answer is option 'D'. Can you explain this answer?
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Complete the series: 2, 5, 9, _________, 20, 27a)16b)18c)24d)14Correct...
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Complete the series: 2, 5, 9, _________, 20, 27a)16b)18c)24d)14Correct...
To find the missing number in the series 2, 5, 9, ____, 20, 27, we need to identify the pattern or rule that governs the sequence.

Pattern:
- The difference between the first two numbers is 5 - 2 = 3.
- The difference between the second and third numbers is 9 - 5 = 4.
- The difference between the third and fourth numbers is 14 - 9 = 5.
- The difference between the fourth and fifth numbers is 20 - 14 = 6.
- The difference between the fifth and sixth numbers is 27 - 20 = 7.

From the pattern, we can observe that the differences between consecutive terms are increasing by 1 each time.

Using this pattern, the difference between the fourth and fifth numbers would be 6 + 1 = 7. Therefore, to find the missing number, we need to add 7 to the fourth number in the series.

Calculations:
- The fourth number is 14.
- Adding 7 to 14, we get 14 + 7 = 21.

Therefore, the missing number in the series is 21.

Conclusion:
The missing number in the series 2, 5, 9, ____, 20, 27 is 21.
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Community Answer
Complete the series: 2, 5, 9, _________, 20, 27a)16b)18c)24d)14Correct...
14
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Complete the series: 2, 5, 9, _________, 20, 27a)16b)18c)24d)14Correct answer is option 'D'. Can you explain this answer?
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