Type the missing number in this sequence: 2, 4, 8, 16, _____, 64

Identify Pattern: Identify the pattern in the sequence. The sequence appears to be geometric since each term after the first is obtained by multiplying the previous term by a common ratio.Determine Ratio: Determine the common ratio. To find the common ratio, we can divide any term by the previous term. For example, dividing the second term (4) by the first term (2) gives us: 4 / 2 = 2 The common ratio is 2.Find Missing Number: Use the common ratio to find the missing number. The term before the missing number is 16. To find the missing number, we multiply 16 by the common ratio (2): 16 * 2 = 32 The missing number in the sequence is 32.

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Type the missing number in this sequence: $\newline$ $2$ , $4$ , $8$ , $16$ , _____, $64$

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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

2

4

8

16

, _____,

64

Identify Pattern: Identify the pattern in the sequence. $\newline$ The sequence appears to be geometric since each term after the first is obtained by multiplying the previous term by a common ratio $r$ .
Determine Ratio: Determine the common ratio. $\newline$ To find the common ratio, we can divide any term by the previous term. For example, dividing the second term $4$ by the first term $2$ gives us: $\newline$ $\frac{4}{2} = 2$ $\newline$ The common ratio is $2$ .
Find Missing Number: Use the common ratio to find the missing number. $\newline$ The term before the missing number is $16$ . To find the missing number, we multiply $16$ by the common ratio $(2)$ : $\newline$ $16 \times 2 = 32$ $\newline$ The missing number in the sequence is $32$ .