In the following number series, one number is incorrect. Identify the wrong number:

$$32.5, 33.7, 36.1, 39.7, 44.5, 50, 57.7$$

Question

In the following number series, one number is incorrect. Identify the wrong number:

$$32.5, 33.7, 36.1, 39.7, 44.5, 50, 57.7$$

Accepted Answer

**Solution:**

1. Observe the series: $$32.5, 33.7, 36.1, 39.7, 44.5, 50, 57.7$$

2. Calculate the differences between consecutive terms:
   - $33.7 - 32.5 = 1.2$
   - $36.1 - 33.7 = 2.4$
   - $39.7 - 36.1 = 3.6$
   - $44.5 - 39.7 = 4.8$
   - $50 - 44.5 = 5.5$
   - $57.7 - 50 = 7.7$

3. The differences should ideally increase by $1.2$ each time:
   - $1.2, 2.4, 3.6, 4.8, 6.0, 7.2$

4. Notice the difference between $44.5$ and $50$ is $5.5$, which is inconsistent with the expected $6.0$.

5. To correct the series, the term after $44.5$ should be:
   $$44.5 + 6.0 = 50.5$$

6. Since $50$ is given instead of $50.5$, the wrong number in the series is $50$.

**Answer:** $50$

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