Type the next number in this sequence: 5, 6, 9, 14, 21, 30, 41, _____

Identify Pattern: Identify the pattern in the sequence. Look at the differences between consecutive terms to see if there is a pattern. 6 - 5 = 1 9 - 6 = 3 14 - 9 = 5 21 - 14 = 7 30 - 21 = 9 41 - 30 = 11 It seems that the difference between consecutive terms is increasing by 2 each time.Predict Next Difference: Predict the next difference in the sequence. If the pattern of increasing by 2 continues, the next difference should be 11 + 2 = 13.Calculate Next Number: Calculate the next number in the sequence. Add the predicted difference to the last known number in the sequence. 41 + 13 = 54

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Type the next number in this sequence: $\newline$ $5$ , $6$ , $9$ , $14$ , $21$ , $30$ , $41$ , $\_$

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Math Problems

Algebra 1

Sequences: mixed review

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Q. Type the next number in this sequence:

\newline

5

6

9

14

21

30

41

\_

Identify Pattern: Identify the pattern in the sequence. $\newline$ Look at the differences between consecutive terms to see if there is a pattern. $\newline$ $6 - 5 = 1$ $\newline$ $9 - 6 = 3$ $\newline$ $14 - 9 = 5$ $\newline$ $21 - 14 = 7$ $\newline$ $30 - 21 = 9$ $\newline$ $41 - 30 = 11$ $\newline$ It seems that the difference between consecutive terms is increasing by $2$ each time.
Predict Next Difference: Predict the next difference in the sequence. $\newline$ If the pattern of increasing by $2$ continues, the next difference should be $11 + 2 = 13$ .
Calculate Next Number: Calculate the next number in the sequence. Add the predicted difference to the last known number in the sequence. $41 + 13 = 54$