Asked in MDCAT Test Series 3 — Rotational and Circular MotionModerate

Find the missing series2, 6, 12, 20, 30, 42, 56, ?

Correct answer: C. 72

  • A. 61
  • B. 64
  • C. 72
  • D. 70
  • E. None of these

Explanation

The sequence is generated by multiplying pairs of consecutive integers: 1*2 = 2, 2*3 = 6, 3*4 = 12, 4*5 = 20, 5*6 = 30, 6*7 = 42, 7*8 = 56. The next step is 8*9 = 72, making 72 the correct answer. Options 61, 64, and 70 do not fit this pattern and are therefore incorrect.

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About Rotational and Circular Motion

Angular displacement and angular velocity describe rotation, with angles measured in radians and related to time through angular speed. The connection between angular and linear quantities includes arc length, tangential speed and centripetal acceleration, so circular motion is not confused with motion at constant velocity.

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