Type the missing number in this sequence: 4, 5, _____, 10, 14, 19, 25

Identify pattern: Step 1: Identify the pattern in the sequence. We start by looking at the differences between consecutive terms given: 5 - 4 = 1 10 - _____ = _____ 14 - 10 = 4 19 - 14 = 5 25 - 19 = 6 It seems like the differences are increasing by 1 each time, starting from 1. Find missing number: Step 2: Continue the pattern to find the missing number. If the difference increases by 1 each time, the difference before 4 should be: 4 - (1 - 1) = 4 Now, using the pattern to find the missing number: 5 + (1 + 1) = 7 So, the missing number should be 7.

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Type the missing number in this sequence: $\newline$ $4,\;5,\;\_\_\_\_,\;10,\;14,\;19,\;25$

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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,\;5,\;\_\_\_\_,\;10,\;14,\;19,\;25

Identify pattern: Step $1$ : Identify the pattern in the sequence. $\newline$ We start by looking at the differences between consecutive terms given: $\newline$ $5 - 4 = 1$ $\newline$ $10 - \_\_\_\_\_ = \_\_\_\_\_$ $\newline$ $14 - 10 = 4$ $\newline$ $19 - 14 = 5$ $\newline$ $25 - 19 = 6$ $\newline$ It seems like the differences are increasing by $1$ each time, starting from $1$ .
Find missing number: Step $2$ : Continue the pattern to find the missing number. $\newline$ If the difference increases by $1$ each time, the difference before $4$ should be: $\newline$ $4 - (1 - 1) = 4$ $\newline$ Now, using the pattern to find the missing number: $\newline$ $5 + (1 + 1) = 7$ $\newline$ So, the missing number should be $7$ .