Type the next number in this sequence: 4, 4, 5, 7, 10, 14, 19, _____

Identify Pattern: Identify the pattern in the sequence. We need to look at the differences between consecutive terms to see if there is a pattern. Difference between second and first term: 4 - 4 = 0 Difference between third and second term: 5 - 4 = 1 Difference between fourth and third term: 7 - 5 = 2 Difference between fifth and fourth term: 10 - 7 = 3 Difference between sixth and fifth term: 14 - 10 = 4 Difference between seventh and sixth term: 19 - 14 = 5 It seems that the difference between consecutive terms is increasing by 1 each time.Find Next Term: Predict the next difference and find the next term. If the pattern continues, the difference between the next term and the seventh term should be 6 (since the last difference was 5). So, the next term should be: 19 + 6 = 25

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Type the next number in this sequence: $\newline$ $4,\ \ 4,\ \ 5,\ \ 7,\ \ 10,\ \ 14,\ \ 19,\ \ \_$

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Math Problems

Grade 8

Sequences: mixed review

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Q. Type the next number in this sequence:

\newline

4,\ \ 4,\ \ 5,\ \ 7,\ \ 10,\ \ 14,\ \ 19,\ \ \_

Identify Pattern: Identify the pattern in the sequence. $\newline$ We need to look at the differences between consecutive terms to see if there is a pattern. $\newline$ Difference between second and first term: $4 - 4 = 0$ $\newline$ Difference between third and second term: $5 - 4 = 1$ $\newline$ Difference between fourth and third term: $7 - 5 = 2$ $\newline$ Difference between fifth and fourth term: $10 - 7 = 3$ $\newline$ Difference between sixth and fifth term: $14 - 10 = 4$ $\newline$ Difference between seventh and sixth term: $19 - 14 = 5$ $\newline$ It seems that the difference between consecutive terms is increasing by $1$ each time.
Find Next Term: Predict the next difference and find the next term. $\newline$ If the pattern continues, the difference between the next term and the seventh term should be $6$ (since the last difference was $5$ ). $\newline$ So, the next term should be: $19 + 6 = 25$