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what is the next term in the sequence : 2,6,12,202,6,12,20

Full solution

Q. what is the next term in the sequence : 2,6,12,202,6,12,20
  1. Notice Pattern in Sequence: Notice the pattern in the sequence: each term increases by a larger even number than the previous increase.
  2. Calculate Increases: The first increase is 44 (626 - 2), the second increase is 66 (12612 - 6), and the third increase is 88 (201220 - 12).
  3. Predict Next Increase: Predict the next increase will be 1010, since the pattern increases by 22 each time.
  4. Find Next Term: Add 1010 to the last term (2020) to find the next term in the sequence: 20+10=3020 + 10 = 30.

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