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Type the next number in this sequence:\newline0,0,0,0,2,2,6,6,12,12,__\_\_

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Full solution

Q. Type the next number in this sequence:\newline0,0,0,0,2,2,6,6,12,12,__\_\_
  1. Identify Pattern: Identify the pattern in the sequence.\newlineLooking at the differences between the terms: 00 to 00 is +0+0, 00 to 22 is +2+2, 22 to 66 is +4+4, and 66 to 0000 is 0011. It seems that the difference between each term is increasing by 22.
  2. Predict Next Difference: Predict the next difference in the sequence.\newlineIf the pattern of increasing by 22 continues, the next difference should be 6+2=86 + 2 = 8.
  3. Calculate Next Number: Calculate the next number in the sequence.\newlineAdd the predicted difference to the last number in the sequence: 12+8=2012 + 8 = 20.

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