Find the explicit formula for the following sequence 1/3,2/9,4/27,8/81,16/243....

Kathryn Sanchez 2022-09-11 Answered
Find the explicit formula for the following sequence 1/3,2/9,4/27,8/81,16/243....
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Answers (1)

Skye Hamilton
Answered 2022-09-12 Author has 14 answers
a 0 = 1 3
a 1 = a 0 2 3 = 2 9
a 2 = a 1 2 3 = a 0 ( 2 3 ) 2 = 4 27
a 3 = a 2 2 3 = a 0 ( 2 3 ) 3 = 8 81
a 4 = a 3 2 3 = a 0 ( 2 3 ) 4 = 16 243
...
a n = a 0 ( 2 3 ) n = 1 3 ( 2 3 ) n

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