Determine whether the following series is arithmetic or geometric. Then evaluate the finite series for the specified number of terms.
81 + 27 +9+3+...; n= 180
Choose the correct answer below.
The series is arithmetic.
The series is geometric.
The sum is S180 =
(Type an integer or decimal rounded to two decimal places as needed.)

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1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?