Answer: 81, 27, 9, 3, 1, 1/3
There are six terms listed. The first five are whole numbers and the sixth term is a fraction.
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Step-by-step explanation:
The equation t1 = 81 means that the first term "t" is 81. The second term is t2 = 27 because we multiply 1/3 by 81, or divide 81 over 3, and we end up with 81/3 = 27 as the second term.
We know to multiply by 1/3 because of the equation tn = (1/3)*t_(n-1) where the "n-1" portion is smaller than 't'. We can write it like this
To get the next term, we multiply by 1/3 again: 27*(1/3) = 27/3 = 9 giving us the third term
And repeat until we have six terms
9*(1/3) = 9/3 = 3 is the fourth term
3*(1/3) = 3/3 = 1 is the fifth term
1*(1/3) = 1/3 is the sixth term
So that is how I got the first six terms to be 81, 27, 9, 3, 1, 1/3