Type the missing number in this sequence: 4, 6, 10, 16, 24, _____, 46

Determine Pattern in Sequence: We need to determine the pattern in the sequence to find the missing number. Let's look at the differences between consecutive terms. 6 - 4 = 2 10 - 6 = 4 16 - 10 = 6 24 - 16 = 8 It seems that the difference between each term is increasing by 2 each time.Calculate Missing Number: If the pattern continues, the difference between the missing term and 24 should be 10, since the last difference we calculated was 8 and we are adding 2 each time. 24 + 10 = 34 So, the missing number should be 34.Check Pattern Consistency: Let's check if the pattern holds for the next term after the missing number. 46 - 34 = 12 This is consistent with our pattern, as the difference has increased by 2 again (from 10 to 12).

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Type the missing number in this sequence: $\newline$ $4$ , $6$ , $10$ , $16$ , $24$ , $\_$ , $46$

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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

10

16

24

\_

46

Determine Pattern in Sequence: We need to determine the pattern in the sequence to find the missing number. Let's look at the differences between consecutive terms. $\newline$ $6 - 4 = 2$ $\newline$ $10 - 6 = 4$ $\newline$ $16 - 10 = 6$ $\newline$ $24 - 16 = 8$ $\newline$ It seems that the difference between each term is increasing by $2$ each time.
Calculate Missing Number: If the pattern continues, the difference between the missing term and $24$ should be $10$ , since the last difference we calculated was $8$ and we are adding $2$ each time. $\newline$ $24 + 10 = 34$ $\newline$ So, the missing number should be $34$ .
Check Pattern Consistency: Let's check if the pattern holds for the next term after the missing number. $\newline$ $46 - 34 = 12$ $\newline$ This is consistent with our pattern, as the difference has increased by $2$ again (from $10$ to $12$ ).