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

Identify Pattern: Identify the pattern in the sequence. The sequence is 1, 2, 4, 8, _____. 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. This suggests that the sequence is geometric with a common ratio.Determine Common Ratio: Determine the common ratio of the sequence. To find the common ratio, we can divide any term by the previous term. For example, 2 divided by 1 equals 2, and 4 divided by 2 also equals 2. Therefore, the common ratio is 2.Find Missing Number: Use the common ratio to find the missing number. The last number we have in the sequence is 8, and if we multiply it by the common ratio, we should get the next term in the sequence. So, we calculate 8 multiplied by 2, which equals 16.

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

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Math Problems

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

\_

Identify Pattern: Identify the pattern in the sequence. $\newline$ The sequence is $1, 2, 4, 8, \_\_\_\_$ . 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. This suggests that the sequence is geometric with a common ratio.
Determine Common Ratio: Determine the common ratio of the sequence. $\newline$ To find the common ratio, we can divide any term by the previous term. For example, $2$ divided by $1$ equals $2$ , and $4$ divided by $2$ also equals $2$ . $\newline$ Therefore, the common ratio is $2$ .
Find Missing Number: Use the common ratio to find the missing number. $\newline$ The last number we have in the sequence is $8$ , and if we multiply it by the common ratio, we should get the next term in the sequence. $\newline$ So, we calculate $8$ multiplied by $2$ , which equals $16$ .