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Q37 (CISF/2018) Miscellaneous & General Knowledge › Important Days, Places & Events

Consider the following sequence :

5, 7, 10, 15, 22, 33, 46, _,
Which one of the alternatives will come at the end of the above sequence ?

Explanation

The sequence is formed by adding consecutive prime numbers to each preceding term. By calculating the differences between successive terms, we observe the following pattern:

  • 7 - 5 = 2
  • 10 - 7 = 3
  • 15 - 10 = 5
  • 22 - 15 = 7
  • 33 - 22 = 11
  • 46 - 33 = 13

The differences (2, 3, 5, 7, 11, 13) are the sequence of prime numbers. To find the next terms, we must add the next two consecutive prime numbers, which are 17 and 19.

  • Next term: 46 + 17 = 63
  • Following term: 63 + 19 = 82

Thus, the alternatives that complete the sequence are 63 and 82.

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