Type the next number in this sequence: 0, 1, 4, 9, 16, 25, _____

Identify Sequence Pattern: We observe that the sequence is a series of square numbers. The nth term in the sequence is the square of (n-1), where n starts from 1. To find the next number, we need to identify the position of the last number in the sequence and calculate the square of the next integer.Determine Position of Last Number: The last number in the sequence is 25, which is the square of 5 (since 5^2 = 25). This means that 25 is the 6th term in the sequence (since we start counting from 0). To find the next term, we need to square the next integer, which is 6.Calculate Next Number: We calculate the square of 6, which is 6^2 = 36. This is the next number in the sequence.

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Type the next number in this sequence: $\newline$ $0$ , $1$ , $4$ , $9$ , $16$ , $25$ , $\_$

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Math Problems

Grade 7

Sequences: mixed review

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Q. Type the next number in this sequence:

\newline

0

1

4

9

16

25

\_

Identify Sequence Pattern: We observe that the sequence is a series of square numbers. The $n$ th term in the sequence is the square of $(n-1)$ , where $n$ starts from $1$ . To find the next number, we need to identify the position of the last number in the sequence and calculate the square of the next integer.
Determine Position of Last Number: The last number in the sequence is $25$ , which is the square of $5$ (since $5^2 = 25$ ). This means that $25$ is the $6$ th term in the sequence (since we start counting from $0$ ). To find the next term, we need to square the next integer, which is $6$ .
Calculate Next Number: We calculate the square of $6$ , which is $6^2 = 36$ . This is the next number in the sequence.