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With the series provided: (1/2), (1/4), (1/8),(1/16), ___. What number do you think should follow?

Question

With the series provided: (1/2), (1/4), (1/8),(1/16), ___. What number do you think should follow?

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Solution

The series you provided is a geometric sequence where each term is half of the previous term.

Starting with the first term (1/2), each subsequent term is obtained by multiplying the previous term by the common ratio, which is 1/2 in this case.

So, to find the next term in the series, you would multiply the last given term (1/16) by the common ratio (1/2).

Mathematically, this is (1/16) * (1/2) = 1/32.

So, the next number in the series should be 1/32.

This problem has been solved

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