Type the missing number in this sequence: 2, 3, 6, 11, 18, _____, 38, 51

Identify Pattern: Identify the pattern in the sequence. Look at the differences between consecutive terms to see if there is a pattern. 3 - 2 = 1 6 - 3 = 3 11 - 6 = 5 18 - 11 = 7 The differences are increasing by 2 each time.Predict Next Difference: Predict the next difference in the pattern. If the pattern of differences continues, the next difference should be 7 + 2 = 9.Find Missing Number: Find the missing number in the sequence. Add the predicted difference to the last known number in the sequence. 18 + 9 = 27 The missing number should be 27.Verify Pattern Continues: Verify the pattern continues after the missing number. Add the next difference, which should be 9 + 2 = 11, to the missing number. 27 + 11 = 38 This matches the next number in the sequence, confirming our pattern.

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Type the missing number in this sequence: $\newline$ $2$ , $3$ , $6$ , $11$ , $18$ , $\_$ , $38$ , $51$

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Math Problems

Algebra 1

Sequences: mixed review

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Q. Type the missing number in this sequence:

\newline

2

3

6

11

18

\_

38

51

Identify Pattern: Identify the pattern in the sequence. $\newline$ Look at the differences between consecutive terms to see if there is a pattern. $\newline$ $3 - 2 = 1$ $\newline$ $6 - 3 = 3$ $\newline$ $11 - 6 = 5$ $\newline$ $18 - 11 = 7$ $\newline$ The differences are increasing by $2$ each time.
Predict Next Difference: Predict the next difference in the pattern. $\newline$ If the pattern of differences continues, the next difference should be $7 + 2 = 9$ .
Find Missing Number: Find the missing number in the sequence. Add the predicted difference to the last known number in the sequence. $18 + 9 = 27$ The missing number should be $27$ .
Verify Pattern Continues: Verify the pattern continues after the missing number. $\newline$ Add the next difference, which should be $9 + 2 = 11$ , to the missing number. $\newline$ $27 + 11 = 38$ $\newline$ This matches the next number in the sequence, confirming our pattern.