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Question

The next term of the sequence 1,2,4,8,16 is .

A
128
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B
32
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C
64
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Solution

The correct option is B 32
Given the sequence 1,2,4,8,16,x.
Note that every number is a factor of its successor.
21=42=84=168=2
Thus, the given sequence is a GP as the ratio of any two consecutive terms of the sequence is a constant.
Let the next term of the sequence be x.
Then,
168=x16=2.
x=16×2=32

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