How does the pattern progress to the next term 1, 4, 9, and 16?

 How does the pattern progress to the next term 1, 4, 9, and 16?👇👇

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The pattern 1, 4, 9, 16 is a sequence of perfect squares. Specifically, these numbers are the squares of the natural numbers:

• 1 is $1^2$
• 4 is $2^2$
• 9 is $3^2$
• 16 is $4^2$

To find the next term in the sequence, we continue with the next natural number and square it. The next natural number after 4 is 5, and squaring it gives:

$5^2=25$

So, the next term in the sequence is 25. Thus, the pattern progresses as follows:

1, 4, 9, 16, 25, ...

In general, the $𝑛$-th term of this sequence is given by ${𝑛}^2$.