In each of the following questions a series is given. In each one term is wrong. Find out the wrong term
7, 4, 6, 9, 20, `52 cdot 5`, `160 cdot 5`

Options

A. 6
B. 4
C. 20
D. 9

Answer

To find the wrong term in the series 7, 4, 6, 9, 20, 52.5, and 160.5, we need to identify a pattern that the series follows. Let's analyze the series step by step.

### Step 1: Identify the pattern
Let's write down the series:
- 7
- 4
- 6
- 9
- 20
- 52.5
- 160.5

### Step 2: Check the relationship between the terms
1. From 7 to 4:
- \( 7 \times 0.5 + 0.5 = 4 \)

2. From 4 to 6:
- \( 4 \times 1 + 2 = 6 \)

3. From 6 to 9:
- \( 6 \times 1.5 + 1.5 = 9 \)

4. From 9 to 20:
- \( 9 \times 2 + 2 = 20 \)

5. From 20 to 52.5:
- \( 20 \times 2.5 + 2.5 = 52.5 \)

6. From 52.5 to 160.5:
- \( 52.5 \times 3 + 3 = 158.5 \) (This does not equal 160.5)

### Step 3: Identify the wrong term
From the calculations, we can see that the term 160.5 does not follow the established pattern. The correct term should be 158.5 instead of 160.5.

### Conclusion
The wrong term in the series is **160.5**.

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