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WARRIOR [948]
3 years ago
10

A geometric sequence is defined by a the recursive formula t1 = 243, tn + 1 = tn/3

Mathematics
1 answer:
spayn [35]3 years ago
3 0

Answer:

  tn = 243·(1/3)^(n-1)

Step-by-step explanation:

The recursive formula tells you the first term (243) and the common ratio (1/3). You can put these numbers into the general formula for the n-th term of a geometric sequence:

  an = a1·r^(n-1) . . . . . where a1 is the first term and r is the common ratio

You want the n-th term of your sequence to be called tn, so ...

  tn = 243·(1/3)^(n-1)

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