Find the next number in the series:

$$500, 50, 10, 3, 1.2, ?$$

Question

Find the next number in the series:

$$500, 50, 10, 3, 1.2, ?$$

Accepted Answer

**Solution:**

1. Observe the pattern between consecutive terms:

- From 500 to 50:
     $$500 	imes \frac{10}{100} = 50$$

- From 50 to 10:
     $$50 	imes \frac{20}{100} = 10$$

- From 10 to 3:
     $$10 	imes \frac{30}{100} = 3$$

- From 3 to 1.2:
     $$3 	imes \frac{40}{100} = 1.2$$

2. The multiplier's numerator increases by 10 each time: 10, 20, 30, 40, ...

3. To find the next term:
   $$1.2 	imes \frac{50}{100} = 1.2 	imes 0.5 = 0.6$$

**Answer:** $0.6$

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