Find the next three terms of this sequence:\r\n1,4,9,16,25,36,49,…

Recognize pattern in sequence: Recognize the pattern in the sequence; each term is a square of consecutive integers starting from 1 (1^2, 2^2, 3^2, etc.). Calculate next term after 49: Calculate the next term after 49 by squaring the next integer. The integer following 7 (since 49 is 7^2) is 8. So, 8^2 = 64. Calculate term after 64: Calculate the term after 64 by squaring the next integer, which is 9. So, 9^2 = 81. Calculate term after 81: Calculate the term after 81 by squaring the next integer, which is 10. So, 10^2 = 100.

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Find the next three terms of this sequence: $\newline$ $1,4,9,16,25,36,49,\ldots$

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Grade 8

Sequences: mixed review

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Q. Find the next three terms of this sequence:

\newline

1,4,9,16,25,36,49,\ldots

Recognize pattern in sequence: Recognize the pattern in the sequence; each term is a square of consecutive integers starting from $1$ ( $1^2$ , $2^2$ , $3^2$ , etc.).
Calculate next term after $49$ : Calculate the next term after $49$ by squaring the next integer. The integer following $7$ (since $49$ is $7^2$ ) is $8$ . So, $8^2 = 64$ .
Calculate term after $64$ : Calculate the term after $64$ by squaring the next integer, which is $9$ . So, $9^2 = 81$ .
Calculate term after $81$ : Calculate the term after $81$ by squaring the next integer, which is $10$ . So, $10^2 = 100$ .