What are the next three terms of the following sequence?1, 4, 9, 16, 25 ...*1 point36, 49, and 6431, 34, and 3935, 47, and 6028, 33, and 37

1. Break Down the Problem

We need to identify the pattern in the given sequence: 1, 4, 9, 16, 25.

2. Relevant Concepts

Each term in the sequence appears to be a perfect square:

• $1 = 1^2$
• $4 = 2^2$
• $9 = 3^2$
• $16 = 4^2$
• $25 = 5^2$

Following this pattern, the next terms would be the squares of the next integers.

3. Analysis and Detail

We can find the next three terms by calculating the squares of the integers following 5:

1. $6^2 = 36$
2. $7^2 = 49$
3. $8^2 = 64$

4. Verify and Summarize

The three next terms $36$, $49$, and $64$ adhere to the established pattern of perfect squares.

Final Answer

The next three terms of the sequence are 36, 49, and 64.