Study the given number series and answer the question that follows. 26749365195245942371 How many even numbers are immediately preceded by an odd number and immediately followed by a prime number?

Explanation

Given Series: 2 6 7 4 9 3 6 5 1 9 5 2 4 5 9 4 2 3 7 1 We need to find the count of even numbers that are immediately preceded by an odd number and immediately followed by a prime number. Prime Numbers within the Range: Prime numbers under 10 are: 2, 3, 5, and 7. Step-by-Step Analysis: We analyze each even number in the sequence to check if it has an odd number before it and a prime number after it. 2: No preceding number (start of the sequence) → Does not meet condition. 6: Preceded by 2 (even), followed by 7 (prime) → Does not meet condition. 4: Preceded by 7 (odd), followed by 9 (not prime) → Does not meet condition. 6: Preceded by 3 (odd), followed by 5 (prime) → Meets condition. 2: Preceded by 5 (odd), followed by 4 (not prime) → Does not meet condition. 4: Preceded by 9 (odd), followed by 5 (prime) → Meets condition. 4: Preceded by 5 (odd), followed by 2 (not prime) → Does not meet condition. 2: Preceded by 4 (even), followed by 3 (prime) → Does not meet condition. Summary of Results: The even numbers that satisfy the condition (preceded by an odd number and followed by a prime number) are: The first 6 (preceded by 3, followed by 5) The first 4 (preceded by 9, followed by 5) Final Answer: There are 2 even numbers in the sequence that are immediately preceded by an odd number and immediately followed by a prime number.