Type the missing number in this sequence: 4, 5, 7, 10, 14, 19, _____, 32

Identify Pattern: Identify the pattern in the sequence. Look at the differences between consecutive terms to see if there is a pattern. 5 - 4 = 1 7 - 5 = 2 10 - 7 = 3 14 - 10 = 4 19 - 14 = 5 The pattern seems to be that each term is increasing by one more than the previous increase.Predict Next Increase: Predict the next increase based on the pattern. Since the last increase was by 5 (from 14 to 19), the next increase should be by 6.Calculate Missing Number: Calculate the missing number. Add 6 to the last known number in the sequence (19) to find the missing number. 19 + 6 = 25 The missing number should be 25.Verify Pattern Continues: Verify the pattern continues after the missing number. Add the next increase (which should be 7, following the pattern) to the missing number (25) to check if it equals the next known number in the sequence (32). 25 + 7 = 32 The pattern holds, confirming that the missing number is correct.

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Type the missing number in this sequence: $\newline$ $4$ , $5$ , $7$ , $10$ , $14$ , $19$ , $\_$ , $32$

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Math Problems

Algebra 1

Sequences: mixed review

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Q. Type the missing number in this sequence:

\newline

4

5

7

10

14

19

\_

32

Identify Pattern: Identify the pattern in the sequence. $\newline$ Look at the differences between consecutive terms to see if there is a pattern. $\newline$ $5 - 4 = 1$ $\newline$ $7 - 5 = 2$ $\newline$ $10 - 7 = 3$ $\newline$ $14 - 10 = 4$ $\newline$ $19 - 14 = 5$ $\newline$ The pattern seems to be that each term is increasing by one more than the previous increase.
Predict Next Increase: Predict the next increase based on the pattern. $\newline$ Since the last increase was by $5$ (from $14$ to $19$ ), the next increase should be by $6$ .
Calculate Missing Number: Calculate the missing number. $\newline$ Add $6$ to the last known number in the sequence ( $19$ ) to find the missing number. $\newline$ $19 + 6 = 25$ $\newline$ The missing number should be $25$ .
Verify Pattern Continues: Verify the pattern continues after the missing number. Add the next increase (which should be $7$ , following the pattern) to the missing number ( $25$ ) to check if it equals the next known number in the sequence ( $32$ ). $25 + 7 = 32$ The pattern holds, confirming that the missing number is correct.