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Margarita [4]
3 years ago
5

What is the sequence? 243, 81, 27, 9, 3, 1

Mathematics
1 answer:
katen-ka-za [31]3 years ago
5 0

9514 1404 393

Answer:

  an = 243·(1/3)^(n-1) = 3^(6-n)

Step-by-step explanation:

This geometric sequence has a first term of a1=243 and a common ratio of r = 81/243 = 1/3. The general term for it is ...

  an = a1·r^(n-1)

  an = 243·(1/3)^(n-1)

Making use of the rules of exponents, this can be simplified to ...

  an = 3^5·(3^-1)^(n-1) = 3^(5-n+1)

  an = 3^(6-n)

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