Type the missing number in this sequence: 4, 16, 64, 256, 1,024, _____

Identify Pattern Ratio: We need to identify the pattern in the sequence. Let's look at the ratio of each number to the one before it. 16 ÷ 4 = 4 64 ÷ 16 = 4 256 ÷ 64 = 4 1,024 ÷ 256 = 4 The pattern is that each number is 4 times the previous number.Find Missing Number: To find the missing number, we multiply the last number in the sequence by 4. 1,024 × 4 = 4,096Confirm Pattern Consistency: We check the result to ensure it follows the pattern of the sequence. 4,096 ÷ 1,024 = 4 This confirms that the pattern is consistent.

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Type the missing number in this sequence: $\newline$ $4$ , $16$ , $64$ , $256$ , $1,024$ , $\_$

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Precalculus

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Q. Type the missing number in this sequence:

\newline

4

16

64

256

1,024

\_

Identify Pattern Ratio: We need to identify the pattern in the sequence. Let's look at the ratio of each number to the one before it. $\newline$ $16 \div 4 = 4$ $\newline$ $64 \div 16 = 4$ $\newline$ $256 \div 64 = 4$ $\newline$ $1,024 \div 256 = 4$ $\newline$ The pattern is that each number is $4$ times the previous number.
Find Missing Number: To find the missing number, we multiply the last number in the sequence by $4$ . $1,024 \times 4 = 4,096$
Confirm Pattern Consistency: We check the result to ensure it follows the pattern of the sequence. $4,096 \div 1,024 = 4$ This confirms that the pattern is consistent.