Question

What is the correct sequence of perfect squares from 1 through 1225 inclusive?

A)1, 4, 9, 16, 25, …, 1225
B)1, 8, 27, 64, 125, …, 1225
C)1, 16, 81, 256, 625, …, 1225
D) 1, 10, 100, 1000, 1100, …, 1225

Answer 1

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