Identify the incorrect term in the following series:

$$204800, 6400, 400, 50, 12.5, 6.5, 6.25$$

Question

Identify the incorrect term in the following series:

$$204800, 6400, 400, 50, 12.5, 6.5, 6.25$$

Accepted Answer

**Solution:**

1. Observe the series: $$204800, 6400, 400, 50, 12.5, 6.5, 6.25$$

2. Check the pattern by dividing each term by the next:
   - $$\frac{204800}{6400} = 32$$
   - $$\frac{6400}{400} = 16$$
   - $$\frac{400}{50} = 8$$
   - $$\frac{50}{12.5} = 4$$
   - $$\frac{12.5}{6.5} \approx 1.92$$ (not matching the pattern)

3. The pattern of division seems to be halving each time: 32, 16, 8, 4, then expected 2, but instead it is approximately 1.92.

4. If the term after 12.5 were $$\frac{12.5}{2} = 6.25$$ instead of 6.5, the pattern would continue correctly.

5. Hence, the wrong term is $$6.5$$.

**Answer:** $6.5$

Answer

Answer

Answer

Answer