Question

Find the next term in the sequence: 2B25, 3C24, 5E22, 13M14, ?.

Hint:

Identify the patterns in prime numbers, alphabetical positions, and numerical sequences to find the next term in the series.

Answer 1

Step 1: Analyze the first numbers.
The first number in each term is a prime number: 2, 3, 5, 13... The next prime number is 17.
Step 2: Analyze the letters.
The second part (letters) corresponds to the position in the alphabet of the prime numbers: \( B = 2, C = 3, E = 5, M = 13 \). The next prime number is 7, so the next letter is Q.
Step 3: Analyze the third number.
The third number decreases by 1, 2, 3, etc., so after 14, the next number is \( 14 - 4 = 10 \). Thus, the next term is 17Q10.