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6, 14, 36, 98,?a.276b.275c.274d.220

Question

6, 14, 36, 98,?a.276b.275c.274d.220

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Solution

The pattern in the sequence is that each number is the square of the next natural number plus the next natural number.

For example,

  • 6 is (2^2 + 2),
  • 14 is (3^2 + 3),
  • 36 is (4^2 + 4),
  • 98 is (5^2 + 5).

So, the next number in the sequence should be (6^2 + 6) = 36 + 6 = 42.

Therefore, none of the options (a.276, b.275, c.274, d.220) are correct. The correct answer should be 42.

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