Type the missing number in this sequence: 1, 2, 4, 8, _____, 32

Identify Pattern: Identify the pattern in the sequence. The sequence is 1, 2, 4, 8, _____, 32. We need to determine if the sequence is arithmetic (each term is added by a constant) or geometric (each term is multiplied by a constant). Looking at the sequence, we can see that each term appears to be double the previous term, which suggests a geometric sequence with a common ratio.Calculate Common Ratio: Calculate the common ratio of the sequence. To find the common ratio, we can divide a term by its preceding term. Using the second and first term: Common Ratio = 2 / 1 = 2 This confirms that the sequence is geometric with a common ratio of 2.Find Missing Number: Use the common ratio to find the missing number. The term before the missing number is 8. To find the missing number, we multiply 8 by the common ratio of 2. Missing Number = 8 * 2 = 16

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Type the missing number in this sequence: $\newline$ $1$ , $2$ , $4$ , $8$ , _____, $32$

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Algebra 2

Find terms of a geometric sequence

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Q. Type the missing number in this sequence:

\newline

1

2

4

8

, _____,

32

Identify Pattern: Identify the pattern in the sequence. $\newline$ The sequence is $1, 2, 4, 8, \_, 32$ . We need to determine if the sequence is arithmetic (each term is added by a constant) or geometric (each term is multiplied by a constant). $\newline$ Looking at the sequence, we can see that each term appears to be double the previous term, which suggests a geometric sequence with a common ratio.
Calculate Common Ratio: Calculate the common ratio of the sequence. $\newline$ To find the common ratio, we can divide a term by its preceding term. Using the second and first term: $\newline$ Common Ratio = $\frac{2}{1} = 2$ $\newline$ This confirms that the sequence is geometric with a common ratio of $2$ .
Find Missing Number: Use the common ratio to find the missing number. $\newline$ The term before the missing number is $8$ . To find the missing number, we multiply $8$ by the common ratio of $2$ . $\newline$ Missing Number = $8 \times 2 = 16$