Type the next number in this sequence: 0, 0, 2, 6, 12, _____

Identify Pattern: Identify the pattern in the sequence. Looking at the differences between the terms: 0 to 0 is +0, 0 to 2 is +2, 2 to 6 is +4, and 6 to 12 is +6. It seems that the difference between each term is increasing by 2.Predict Next Difference: Predict the next difference in the sequence. If the pattern of increasing by 2 continues, the next difference should be 6 + 2 = 8.Calculate Next Number: Calculate the next number in the sequence. Add the predicted difference to the last number in the sequence: 12 + 8 = 20.

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Type the next number in this sequence: $\newline$ $0,$ $0,$ $2,$ $6,$ $12,$ $\_\_$

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Math Problems

Algebra 1

Sequences: mixed review

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Q. Type the next number in this sequence:

\newline

0,

0,

2,

6,

12,

\_\_

Identify Pattern: Identify the pattern in the sequence. $\newline$ Looking at the differences between the terms: $0$ to $0$ is $+0$ , $0$ to $2$ is $+2$ , $2$ to $6$ is $+4$ , and $6$ to $0$ $0$ is $0$ $1$ . It seems that the difference between each term is increasing by $2$ .
Predict Next Difference: Predict the next difference in the sequence. $\newline$ If the pattern of increasing by $2$ continues, the next difference should be $6 + 2 = 8$ .
Calculate Next Number: Calculate the next number in the sequence. $\newline$ Add the predicted difference to the last number in the sequence: $12 + 8 = 20$ .