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

Find Differences Pattern: 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 The differences are increasing by 2 each time. This suggests that the next difference should be 10.Calculate Next Number: Now, let's add the next difference to the last number in the sequence to find the next number. 22 + 10 = 32 So, the next number in the sequence should be 32.

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

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Math Problems

Grade 7

Sequences: mixed review

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Q. Type the next number in this sequence:

\newline

2

4

8

14

22

\_

Find Differences Pattern: Let's look at the differences between the numbers in the sequence to see if we can find a pattern. $\newline$ $4 - 2 = 2$ $\newline$ $8 - 4 = 4$ $\newline$ $14 - 8 = 6$ $\newline$ $22 - 14 = 8$ $\newline$ The differences are increasing by $2$ each time. This suggests that the next difference should be $10$ .
Calculate Next Number: Now, let's add the next difference to the last number in the sequence to find the next number. $22 + 10 = 32$ So, the next number in the sequence should be $32$ .