The sum of the first $n$ even numbers is given by the formula:

$S_n = 2 + 4 + 6 + \dots + 2n = n(n+1)$

For $n = 24$:

$S_{24} = 24(24+1) = 24 \times 25 = 600$

Thus, the sum of the first 24 even numbers is 600.

Would you like a detailed explanation of how this formula is derived?

Related Questions:

1. What is the sum of the first 50 even numbers?
2. What is the sum of the first 30 odd numbers?
3. What is the formula for the sum of the first $n$ odd numbers, and how is it derived?
4. How can we prove the formula $S_n = n(n+1)$ for even numbers using mathematical induction?
5. How does the sum of even numbers compare to the sum of odd numbers for the same $n$?

Math Tip:

The sum of the first $n$ odd numbers is always a perfect square: $1 + 3 + 5 + \dots + (2n-1) = n^2$.