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

Identify Pattern: Identify the pattern in the sequence. The differences between consecutive terms are: 5 - 4 = 1, 7 - 5 = 2, 10 - 7 = 3, 14 - 10 = 4. The pattern in the differences is that they are increasing by 1 each time.Predict Next Difference: Predict the next difference in the sequence. If the pattern of increasing by 1 continues, the next difference should be 4 + 1 = 5.Calculate Next Number: Calculate the next number in the sequence. To find the next number, add the predicted difference to the last number in the sequence: 14 + 5 = 19.

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

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Math Problems

Algebra 2

Sequences: mixed review

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Q. Type the next number in this sequence:

\newline

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

Identify Pattern: Identify the pattern in the sequence. $\newline$ The differences between consecutive terms are: $5 - 4 = 1$ , $7 - 5 = 2$ , $10 - 7 = 3$ , $14 - 10 = 4$ . $\newline$ The pattern in the differences is that they are increasing by $1$ each time.
Predict Next Difference: Predict the next difference in the sequence. $\newline$ If the pattern of increasing by $1$ continues, the next difference should be $4 + 1 = 5$ .
Calculate Next Number: Calculate the next number in the sequence. $\newline$ To find the next number, add the predicted difference to the last number in the sequence: $14 + 5 = 19$ .