Multiple choice

Find the missing number of the given series: $2, 2, 3, 6, 15, 45, ?$

  1. $73.85$
  2. $78.75$
  3. $157.5$
  4. $70.45$
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C Correct answer
Explanation

The pattern is: next term = previous term × (2.5, 3, 3.5, 4, ...). 2×2.5=5 (but given is 2). The actual pattern appears to involve incrementing the multiplier: from 2 to 2 (multiply by 1), 2 to 3 (multiply by 1.5), 3 to 6 (multiply by 2), 6 to 15 (multiply by 2.5), 15 to 45 (multiply by 3). The next multiplier should be 3.5, giving 45×3.5=157.5.

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