Find the missing number in the series:

?, 161, 228, 299, 372, 451

Question

Find the missing number in the series:

?, 161, 228, 299, 372, 451

Accepted Answer

**Solution:**

1. Observe the differences between consecutive terms:
   - $161 - ? = 61$
   - $228 - 161 = 67$
   - $299 - 228 = 71$
   - $372 - 299 = 73$
   - $451 - 372 = 79$

2. The differences are consecutive prime numbers starting from 61: 61, 67, 71, 73, 79.

3. To find the missing first term, subtract 61 from 161:
   $$? = 161 - 61 = 100$$

**Answer:** $100$

Answer

Answer

Answer