What is the value of X in the sequence 20, 10, 10, 15, 30, 75, X?

What is the value of X in the sequence 20, 10, 10, 15, 30, 75, X?
  1. 105
  2. 120
  3. 150
  4. 225

Solution

The terms are obtained by multiplying with successively increasing factors: $20 \times 0.5 = 10$, $10 \times 1 = 10$, $10 \times 1.5 = 15$, $15 \times 2 = 30$, $30 \times 2.5 = 75$, $75 \times 3 = 225$. Hence X = 225.

Asked in: CSAT 2022

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