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Find the missing number: 5, 10, 20, 40, ?
60
70
80
90
80
Observe the constant ratio between consecutive terms; each number is being multiplied by 2 to get the next number.
Observe the constant ratio between consecutive terms; each number is being multiplied by 2 to get the next number.
Analyze the pattern
Calculate the ratio between consecutive terms: 10/5 = 2, 20/10 = 2, 40/20 = 2. The series follows a geometric progression with a common ratio of 2.
Calculate the missing number
Apply the common ratio to the last given number: 40 multiplied by 2 equals 80.
A: 60 is incorrect because it assumes a constant addition of 20, which fails at the first term. B: 70 is incorrect as it does not follow the geometric ratio of 2. D: 90 is incorrect because it does not result from doubling the previous term of 40.
C is correct because the series follows a consistent geometric pattern where each number is doubled (multiplied by 2) to obtain the subsequent number.
When looking at a series, always check the difference between terms first. If the difference increases rapidly, test for multiplication or squares/cubes instead of simple addition.