Type the missing number in this sequence: 0, 0, 2, 6, _____, 20, 30, 42

Identify Pattern: Identify the pattern in the sequence. Looking at the differences between consecutive terms: 0-0=0, 2-0=2, 6-2=4. The differences are increasing by 2 each time.Calculate Next Difference: Calculate the next difference and find the missing term. The next difference after 4 should be 6 (4+2). Adding 6 to the last known term (6) gives 12.Verify Pattern Continues: Verify the pattern continues correctly after the missing term. Adding 8 to 12 gives 20, which matches the next term in the sequence.

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Type the missing number in this sequence: $\newline$ $0$ , $0$ , $2$ , $6$ , _____, $20$ , $30$ , $42$

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Math Problems

Algebra 2

Sequences: mixed review

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Q. Type the missing number in this sequence:

\newline

0

0

2

6

, _____,

20

30

42

Identify Pattern: Identify the pattern in the sequence. $\newline$ Looking at the differences between consecutive terms: $0-0=0$ , $2-0=2$ , $6-2=4$ . $\newline$ The differences are increasing by $2$ each time.
Calculate Next Difference: Calculate the next difference and find the missing term. $\newline$ The next difference after $4$ should be $6$ ( $4+2$ ). $\newline$ Adding $6$ to the last known term ( $6$ ) gives $12$ .
Verify Pattern Continues: Verify the pattern continues correctly after the missing term. $\newline$ Adding $8$ to $12$ gives $20$ , which matches the next term in the sequence.