Type the missing number in this sequence: 2, 3, 6, 11, _____, 27, 38, 51

Identify Pattern: 2, 3, 6, 11, _____, 27, 38, 51 Identify the pattern in the sequence. Look at the differences between consecutive terms to see if there is a pattern. Difference between 3 and 2 is 1. Difference between 6 and 3 is 3. Difference between 11 and 6 is 5. It seems that the differences are increasing by 2 each time.Continue Pattern: 2, 3, 6, 11, _____, 27, 38, 51 Continue the pattern to find the missing number. If the difference between 11 and the missing number is the next in the sequence (which should be 7, since the last difference was 5), we can find the missing number by adding 7 to 11. 11 + 7 = 18Verify Pattern: Verify the pattern with the next term after the missing number. If 18 is correct, the difference between 27 and 18 should be 9, since we are increasing by 2 each time. 27 - 18 = 9 This fits the pattern, so the missing number is likely correct.

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Type the missing number in this sequence: $\newline$ $2$ , $3$ , $6$ , $11$ , $\_$ , $27$ , $38$ , $51$

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Algebra 1

Sequences: mixed review

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Q. Type the missing number in this sequence:

\newline

2

3

6

11

\_

27

38

51

Identify Pattern: $2, 3, 6, 11, \_, 27, 38, 51$ $\newline$ Identify the pattern in the sequence. $\newline$ Look at the differences between consecutive terms to see if there is a pattern. $\newline$ Difference between $3$ and $2$ is $1$ . $\newline$ Difference between $6$ and $3$ is $3$ . $\newline$ Difference between $11$ and $6$ is $5$ . $\newline$ It seems that the differences are increasing by $2$ each time.
Continue Pattern: 2, 3, 6, 11, _____, 27, 38, 51 $\newline$ Continue the pattern to find the missing number. $\newline$ If the difference between $11$ and the missing number is the next in the sequence (which should be $7$ , since the last difference was $5$ ), we can find the missing number by adding $7$ to $11$ . $\newline$ $11 + 7 = 18$
Verify Pattern: Verify the pattern with the next term after the missing number. $\newline$ If $18$ is correct, the difference between $27$ and $18$ should be $9$ , since we are increasing by $2$ each time. $\newline$ $27 - 18 = 9$ $\newline$ This fits the pattern, so the missing number is likely correct.