Let's find the pattern in the given sequence: 4A6C2E6P13R7T8N10P?. The sequence is a combination of numbers and letters.

Analysing the Letter Pattern

Let's look at the letters in the sequence: A, C, E, P, R, T, N, P, ?

Observing the letters, we can see a pattern emerges when grouped into sets of three:

• The first three letters are A, C, E. The alphabetical position increases by 2 (A=1, C=3, E=5). $1 \xrightarrow{+2} 3 \xrightarrow{+2} 5$.
• The next three letters are P, R, T. The alphabetical position increases by 2 (P=16, R=18, T=20). $16 \xrightarrow{+2} 18 \xrightarrow{+2} 20$.
• The next two letters are N, P. Following the same pattern, the next letter should have an alphabetical position 2 greater than P (16). N=14, P=16. $14 \xrightarrow{+2} 16$. The next letter in this group must be $16 \xrightarrow{+2} 18$, which corresponds to the letter R.

Based on this pattern, the letter that replaces the question mark is R.

Analysing the Number Pattern

Now let's look at the numbers paired with these letters in the original sequence and grouped according to the letter pattern:

• Group 1 (Letters A, C, E): Numbers are 4, 6, 2 (from 4A, 6C, 2E).
• Group 2 (Letters P, R, T): Numbers are 6, 13, 7 (from 6P, 13R, 7T).
• Group 3 (Letters N, P, R): Numbers are 8, 10, ? (from 8N, 10P, ?R).

Let's examine the relationship between the numbers within each group:

The pattern for the numbers is that the third number in each group is the result of subtracting the first number from the second number.

Applying this pattern to the third group (8, 10, ?), we calculate the missing number as $10 - 8 = 2$.

Combining the Patterns

Based on the letter pattern, the next letter is R.

Based on the number pattern, the number paired with R is 2.

Therefore, the element that replaces the question mark is 2R.