Find the missing number in the series:

$$17, 98, 26, 89, 35, ?$$

Question

Find the missing number in the series:

$$17, 98, 26, 89, 35, ?$$

Accepted Answer

**Solution:**

1. Observe the series: $$17, 98, 26, 89, 35, ?$$

2. Separate the series into two interleaved sequences:
   - First sequence (odd positions): $$17, 26, 35, ?$$
   - Second sequence (even positions): $$98, 89, ?$$

3. Analyze the first sequence:
   - From 17 to 26: increase by 9
   - From 26 to 35: increase by 9
   - So, next number should be $$35 + 9 = 44$$

4. Analyze the second sequence:
   - From 98 to 89: decrease by 9
   - Next number should be $$89 - 9 = 80$$

5. Since the missing number is in the even position (6th term), the answer is $$80$$.

**Answer:** $80$

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