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11, 12, 39, 164, 507, ?Question 13Answera.913b.1136c.1236d.1026

Question

11, 12, 39, 164, 507, ?Question 13Answera.913b.1136c.1236d.1026

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Solution

To solve this problem, we need to identify the pattern or rule that is being followed in the sequence.

  1. The difference between the second and first term is 1 (12 - 11 = 1).
  2. The difference between the third and second term is 27 (39 - 12 = 27).
  3. The difference between the fourth and third term is 125 (164 - 39 = 125).
  4. The difference between the fifth and fourth term is 343 (507 - 164 = 343).

If we look closely, we can see that the differences are the cubes of consecutive natural numbers: 1^3 = 1, 3^3 = 27, 5^3 = 125, 7^3 = 343.

Following this pattern, the next difference should be 9^3 = 729.

So, to find the next term in the sequence, we add this difference to the last term: 507 + 729 = 1236.

Therefore, the answer is c.1236.

This problem has been solved

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