Type the missing number in this sequence: 1, 2, 5, 10, _____, 26, 37, 50

Identify pattern: Step 1: Identify the pattern in the sequence. We start by looking at the differences between consecutive terms: 2 - 1 = 1 5 - 2 = 3 10 - 5 = 5 The differences are increasing by 2 each time. So, the next difference should be 7. 10 + 7 = 17 Calculate next term: Step 2: Check if the pattern continues correctly with the next terms. 17 + (26 - 17) = 26, which is correct. 26 + (37 - 26) = 37, which is correct. 37 + (50 - 37) = 50, which is correct. The pattern holds, so the missing number is 17.

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Type the missing number in this sequence: $\newline$ $1$ , $2$ , $5$ , $10$ , $\_$ , $26$ , $37$ , $50$

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Math Problems

Grade 8

Sequences: mixed review

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Q. Type the missing number in this sequence:

\newline

1

2

5

10

\_

26

37

50

Identify pattern: Step $1$ : Identify the pattern in the sequence. $\newline$ We start by looking at the differences between consecutive terms: $\newline$ $2 - 1 = 1$ $\newline$ $5 - 2 = 3$ $\newline$ $10 - 5 = 5$ $\newline$ The differences are increasing by $2$ each time. So, the next difference should be $7$ . $\newline$ $10 + 7 = 17$
Calculate next term: Step $2$ : Check if the pattern continues correctly with the next terms. $\newline$ $17 + (26 - 17) = 26$ , which is correct. $\newline$ $26 + (37 - 26) = 37$ , which is correct. $\newline$ $37 + (50 - 37) = 50$ , which is correct. $\newline$ The pattern holds, so the missing number is $17$ .