INSTRUCTIONS: This is a numerical series. Find the missing item2. 0.18 | 0.36 | 0.72 | ? | 2.880.91.261.441.62

1. Break Down the Problem

We need to identify the missing item in the numerical series: 0.18, 0.36, 0.72, ?, 2.88. This appears to follow a certain pattern or rule that we need to deduce.

2. Relevant Concepts

To analyze the series, we can observe the progression and identify the relationship between the numbers. We can start by examining the ratio between consecutive terms.

3. Analysis and Detail

1. Calculate the ratio of the second term to the first term: $\text{Ratio}_1 = \frac{0.36}{0.18} = 2$
2. Calculate the ratio of the third term to the second term: $\text{Ratio}_2 = \frac{0.72}{0.36} = 2$
3. The next term can be calculated as: $\text{Missing Term} = 0.72 \times 2 = 1.44$
4. Now, calculate the ratio of the fourth term (1.44) to the fifth term (2.88): $\text{Ratio}_3 = \frac{2.88}{1.44} = 2$

4. Verify and Summarize

The series follows a consistent pattern where each term is twice the previous term. The missing term has been calculated as 1.44, affirming that:

• 0.18 doubled equals 0.36,
• 0.36 doubled equals 0.72,
• 0.72 doubled equals 1.44,
• 1.44 doubled equals 2.88.

Final Answer

The missing item in the series is 1.44.