Question

Write an explicit formula for a_na n ​ , the n^{\text{th}}n th term of the sequence 48, 12, 3, ...48,12,3,

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Answer 1

Answer:

  an = 48·(1/4)^(n-1)

Step-by-step explanation:

The first term is 48, and the terms have a common ratio of 1/4. The generic equation for the n-th term of a geometric sequence is ...

  an = a1·r^(n-1)

For a1 = 48 and r = 1/4, this is ...

  an = 48·(1/4)^(n-1)