This question requires identifying the pattern in the given alphanumeric series: BC2, GH3, LM5, QR7, ?

Understanding the Letter Pattern

Let's analyze the alphabetical sequence and the positional difference between consecutive letter pairs:

• Pair 1 to Pair 2: BC to GH. The first letters are B and G. The position of B in the alphabet is 2, and G is 7. The difference is $7 - 2 = 5$. The second letters are C and H. The position of C is 3, and H is 8. The difference is $8 - 3 = 5$.
• Pair 2 to Pair 3: GH to LM. The first letters are G (7) and L (12). The difference is $12 - 7 = 5$. The second letters are H (8) and M (13). The difference is $13 - 8 = 5$.
• Pair 3 to Pair 4: LM to QR. The first letters are L (12) and Q (17). The difference is $17 - 12 = 5$. The second letters are M (13) and R (18). The difference is $18 - 13 = 5$.

The pattern observed is that the first letter of each pair shifts forward by 5 positions in the alphabet, and the second letter also shifts forward by 5 positions.

Following this pattern:

• The first letter of the previous pair is Q (17). The next letter should be $17 + 5 = 22$. The 22nd letter is V.
• The second letter of the previous pair is R (18). The next letter should be $18 + 5 = 23$. The 23rd letter is W.

So, the next letter pair is VW.

Identifying the Number Pattern

Now let's look at the numbers associated with each pair:

• The sequence of numbers is 2, 3, 5, 7.
• These numbers are the first five prime numbers in order.
• The prime numbers start with 2, 3, 5, 7, 11, 13, ...

Following this pattern, the next number in the sequence after 7 should be the next prime number, which is 11.

Determining the Complete Term

Combining the next letter pair (VW) and the next number (11), the complete term that follows QR7 in the series is VW11.