Question

-4/3,4/9,-4/27,4/81,-4/243...

what is the common ratio! HELP ASAP

Answer 1

Answer: The common ratio is -1/3

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Work Shown:

Pick any term to divide it by the previous term. I'm going to pick the second term and divide it by the first term.

r = common ratio
r = (term 2) divided by (term 1)
r = (4/9) divided by (-4/3)
r = (4/9) * (-3/4)
r = (4*(-3))/(9*4)
r = -12/36
r = -1/3
The common ratio is -1/3

This means you multiply each term by -1/3 to get the next term

For instance
term 2 = r*(term 1)
term 2 = (-1/3)*(-4/3)
term 2 = ((-1)*(-4))/(3*3)
term 2 = 4/9