Find the missing number in the series:

$$24, 28, 19, 35, 10, ?$$

Question

Find the missing number in the series:

$$24, 28, 19, 35, 10, ?$$

Accepted Answer

**Solution:**

1. Observe the series: $$24, 28, 19, 35, 10, ?$$

2. Let's analyze the pattern by separating the series into two alternating subsequences:

- First subsequence (positions 1, 3, 5): $$24, 19, 10$$
   - Second subsequence (positions 2, 4, 6): $$28, 35, ?$$

3. For the first subsequence:

- From 24 to 19: decrease by 5
   - From 19 to 10: decrease by 9

The decreases are not consistent, but let's check the second subsequence.

4. For the second subsequence:

- From 28 to 35: increase by 7
   - From 35 to ?: likely increase by 11 (following an increasing odd number pattern: 7, 11,...)

5. So, the next number in the second subsequence is:

$$35 + 11 = 46$$

6. Hence, the missing number is $$46$$.

**Answer:** $46$

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