Type the missing number in this sequence: 4, 6, 9, 13, _____, 24, 31, 39

Identify Pattern: To find the missing number in the sequence, we need to determine the pattern. Let's look at the differences between consecutive terms. 6 - 4 = 2 9 - 6 = 3 13 - 9 = 4 It seems that the difference between consecutive terms is increasing by 1 each time.Calculate Next Term: If the pattern continues, the difference between the next term after 13 and 13 itself should be 5. So, let's add 5 to 13 to find the missing number. 13 + 5 = 18Verify Pattern: Now, let's check if this pattern holds for the next terms given in the sequence. 24 - 18 = 6 31 - 24 = 7 39 - 31 = 8 The differences are indeed increasing by 1, which confirms our pattern.Final Answer: Therefore, the missing number in the sequence is 18.

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Type the missing number in this sequence: $\newline$ $4$ , $6$ , $9$ , $13$ , $\_$ , $24$ , $31$ , $39$

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Math Problems

Grade 8

Sequences: mixed review

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Q. Type the missing number in this sequence:

\newline

4

6

9

13

\_

24

31

39

Identify Pattern: To find the missing number in the sequence, we need to determine the pattern. Let's look at the differences between consecutive terms. $\newline$ $6 - 4 = 2$ $\newline$ $9 - 6 = 3$ $\newline$ $13 - 9 = 4$ $\newline$ It seems that the difference between consecutive terms is increasing by $1$ each time.
Calculate Next Term: If the pattern continues, the difference between the next term after $13$ and $13$ itself should be $5$ . So, let's add $5$ to $13$ to find the missing number. $13 + 5 = 18$
Verify Pattern: Now, let's check if this pattern holds for the next terms given in the sequence. $\newline$ $24 - 18 = 6$ $\newline$ $31 - 24 = 7$ $\newline$ $39 - 31 = 8$ $\newline$ The differences are indeed increasing by $1$ , which confirms our pattern.
Final Answer: Therefore, the missing number in the sequence is $18$ .