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Geometric sequences with fractions

A geometric sequence is a list of numbers with a definite pattern. Sometimes you may encounter a problem in geometric sequence that involves fractions.

What is the next fraction in this sequence?

Look for a pattern. The numerator stays the same while the denominator increases. What is the pattern? Try multiplying.

If you multiply the first denominator, 4, by 2, you get 8. 8 is the second denominator.

Try multiplying 8 by 2. You get 16, which is the denominator of the third fraction.

Does this pattern hold true for the fourth fraction? Multiply 16 by 2 to check. 16 times 2 is 32, which is the denominator of the fourth fraction.

The pattern is to multiply the denominator by 2.

This is the same as multiplying the entire fraction by

Multiply to find the next fraction in the pattern:

The next fraction in the pattern is

What is the next fraction in this sequence?
 Solution: 