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Find the missing number: 7, 14, 28, 56, ?
112
102
118
122
112
Observe that each consecutive term is multiplied by 2. Immediately apply this multiplier to the last given term.
Observe that each consecutive term is multiplied by 2. Immediately apply this multiplier to the last given term.
Analyze consecutive terms
Examine the given number series: 7, 14, 28, 56, ?. Check the relationship between adjacent terms.
Determine the multiplier
14 divided by 7 is 2, 28 divided by 14 is 2, and 56 divided by 28 is 2. The pattern is a geometric progression with a common ratio of 2.
Calculate the missing number
Multiply the last given term (56) by 2: 56 multiplied by 2 equals 112.
B: 102 is incorrect because the next term after 56 in a doubling sequence is 112, not 102. C: 118 is incorrect as it does not follow the consistent multiplication by 2. D: 122 is incorrect because 56 multiplied by 2 is 112, exceeding 112.
A is correct because each term in the geometric series is obtained by multiplying the previous term by 2, yielding 56 multiplied by 2 equals 112.
Always check for geometric or exponential growth in number series if the differences between terms are rapidly increasing.
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