Type the next number in this sequence: 2, 4, 8, 14, 22, 32, _____

Identify Pattern in Differences: Let's look at the differences between the numbers in the sequence to see if we can find a pattern. 4 - 2 = 2 8 - 4 = 4 14 - 8 = 6 22 - 14 = 8 32 - 22 = 10 It seems that the difference between each number and the one before it is increasing by 2 each time.Predict Next Difference: If the pattern continues, the next difference should be 2 more than the previous difference, which was 10. So, the next difference should be 10 + 2 = 12.Calculate Next Number: To find the next number in the sequence, we add this difference to the last number in the sequence. 32 + 12 = 44

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Type the next number in this sequence: $\newline$ $2$ , $4$ , $8$ , $14$ , $22$ , $32$ , $\_$

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Math Problems

Grade 8

Sequences: mixed review

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Q. Type the next number in this sequence:

\newline

2

4

8

14

22

32

\_

Identify Pattern in Differences: Let's look at the differences between the numbers in the sequence to see if we can find a pattern. $\newline$ $4 - 2 = 2$ $\newline$ $8 - 4 = 4$ $\newline$ $14 - 8 = 6$ $\newline$ $22 - 14 = 8$ $\newline$ $32 - 22 = 10$ $\newline$ It seems that the difference between each number and the one before it is increasing by $2$ each time.
Predict Next Difference: If the pattern continues, the next difference should be $2$ more than the previous difference, which was $10$ . So, the next difference should be $10 + 2 = 12$ .
Calculate Next Number: To find the next number in the sequence, we add this difference to the last number in the sequence. $32 + 12 = 44$