Explanation:

Let’s break it down:

- The given set is (18, 400, 484).

- 18² = 324. 400 and 484 are both perfect squares (20² and 22²). But 400 - 324 = 76, and 484 - 324 = 160—no clear pattern there, so let’s check another lens.

- 400 = 20², 484 = 22²; 18 is an even number between 20 and 22.

- See the spacing: 18, 20, 22 – evenly spaced (+2 each).

- Their squares: 324, 400, 484 – So the pattern seems to link to consecutive even numbers, specifically 18, 20, and 22.

Now, let’s check each option:

- Option 1: (20, 400, 576)

20, 20, 24 – but 400 (20²), 576 (24²). The first number is the root of the second—doesn’t match the original spacing.

- Option 2: (14, 256, 400)

14, 16, 20. 14²=196, 256=16², 400=20². But the jump is (+2, +4)—uneven spacing.

- Option 3: (22, 400, 324)

22, 20, 18. 22²=484, 20²=400, 18²=324. The numbers reverse the original pattern but order is not the same.

- Option 4: (24, 676, 784)

24, 26, 28. 24²=576, 26²=676, 28²=784. Even spacing, all even numbers, matching the sequence style of the original.

Your answer is option 4—and you nailed it.

Option 4 fits the pattern: even numbers at equal intervals, with their squares, just like the original set.

Option 4 is correct.