Am I on the right track with this induction question?

2[sup]2[/sup] + 4[sup]2[/sup] + 6[sup]2[/sup]+...+(2n)[sup]2[/sup] = 2n(n+1)(2n+1)/3

Step 1)
Let n = 2
2[sup]2[/sup] + 4[sup]2[/sup]
= 4 + 16
=  20

2(2)(2+1)(2(2)+1)/3
= 60/3
= 20

Step2) 
Assume that the formula works for n=1,2,3,...,k
ie. 2[sup]2[/sup] + 4[sup]2[/sup] + 6[sup]2[/sup]+...+(2n)[sup]2[/sup] = 2k(k+1)(2k+1)/3
Step 3)
2n(n+1)(2n+1)/3 + (k+1)[sup]2[/sup]

What is induction and why is it important?

Induction is a method of reasoning that involves making generalizations based on specific observations. It is important because it allows scientists to make predictions and draw conclusions about the natural world.

How do I know if my induction question is relevant?

To determine if your induction question is relevant, it should align with your research goals and be based on evidence from your observations and experiments. It should also be specific and testable.

What are the steps for constructing a strong induction question?

The steps for constructing a strong induction question include: identifying a specific phenomenon or pattern, making observations and collecting data, analyzing the data for any trends, forming a hypothesis, and designing experiments to test the hypothesis.

What are some common mistakes to avoid when formulating an induction question?

Some common mistakes to avoid when formulating an induction question include: making broad or unsupported statements, relying on personal beliefs or biases, and ignoring contradictory evidence.

How can I ensure the validity of my induction question?

To ensure the validity of your induction question, it is important to use reliable and unbiased sources of information, carefully design experiments, and accurately collect and analyze data. It is also helpful to have your question reviewed by other scientists in your field.