How do you find the common ratio for the following geometric sequence 4, 12, 36, 108... ?

1 Answer
mason m
Dec 19, 2015

#3#

Explanation:

The common ratio is simply the number that each number is being multiplied by to find the next term.

For example, when the sequence goes #4,12#, #4# is being multiplied by #3#.

When the sequence goes from #12# to #36#, #12# is being multiplied by #3#.

This is true for the entire sequence.

The term following #108# will be #108xx3=324#.

The term proceeding #4# will be #4/3# since #4/3xx3=4#.

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