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Type the missing number in this sequence: `2, 4 8`, ______,`32`
Full solution
Q. Type the missing number in this sequence: `2, 4 8`, ______,`32`
- Identify the pattern: Identify the pattern in the sequence.The sequence appears to be doubling each time. To confirm, we check the ratio between consecutive terms .
- Calculate the common ratio: Calculate the common ratio.The second term divided by the first term is . Similarly, the third term divided by the second term is . This confirms that the common ratio is .
- Use the common ratio to find the missing number: Use the common ratio to find the missing number.The term before the missing number is . Multiplying this by the common ratio () gives us the missing term: .
- Verify the sequence with the missing number filled in: Verify the sequence with the missing number filled in.The sequence is now . To ensure no mistakes were made, we check that multiplying by the common ratio () gives us the next term, which is : . This is correct.
