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QUESTION IMAGE

identify a pattern in the given list of numbers. then use this pattern …

Question

identify a pattern in the given list of numbers. then use this pattern to find the next number. (more than one pattern might exist, so it is possible that there is more than one correct answer.)
4, 16, 64, 256, 1024, ____
the next number is

Explanation:

Step1: Analyze the pattern

Check the relationship between consecutive numbers. \( 4\times4 = 16 \), \( 16\times4 = 64 \), \( 64\times4 = 256 \), \( 256\times4 = 1024 \). So the pattern is multiplying each number by 4 to get the next.

Step2: Find the next number

Multiply the last number (1024) by 4: \( 1024\times4 = 4096 \).

Answer:

4096