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

Question

Accepted Answer

The pattern in the sequence is that each term is obtained by multiplying the previous term by an increasing factor.

Let's analyze the multipliers:
1.  20 * 0.5 = 10
2.  10 * 1 = 10
3.  10 * 1.5 = 15
4.  15 * 2 = 30
5.  30 * 2.5 = 75

The multipliers are 0.5, 1, 1.5, 2, 2.5. This is an arithmetic progression where each term increases by 0.5.

Following this pattern, the next multiplier should be 2.5 + 0.5 = 3.

Therefore, X = 75 * 3 = 225.

Option D is 225, which matches our calculated value.

The final answer is D) 225.

Answer

105

Answer

120

Answer

150

Answer

225

Explanation