Final answer:
The correct sequence of perfect squares from 1 to 1225 is Option A, which includes numbers like 1 (1²), 4 (2²), 9 (3²), and so on up to 1225 (35²).
Step-by-step explanation:
The correct sequence of perfect squares from 1 through 1225 inclusive is given by Option A: 1, 4, 9, 16, 25, …, 1225. Perfect squares are the squares of whole numbers (integer powers of 2), which means each number in the sequence can be expressed as some integer multiplied by itself.
For example, 4 is a perfect square because it can be expressed as 2² (2 times 2), and 9 is a perfect square as it is 3² (3 times 3), and so on, up to 1225, which is 35² (35 times 35).
This sequence is formed by squaring each consecutive integer starting from 1. For example, 1^2 = 1, 2^2 = 4, 3^2 = 9, and so on. The last perfect square in the sequence is 35^2 = 1225.
The correct sequence of perfect squares from 1 through 1225 inclusive is:
A) 1, 4, 9, 16, 25, ..., 1225