kharisma8 kharisma8
  • 22-01-2021
  • Mathematics
contestada

If f(1) = 6 and f(n) = 5f(n - 1) then find the value of f(6).

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sqdancefan
sqdancefan sqdancefan
  • 22-01-2021

9514 1404 393

Answer:

  18750

Step-by-step explanation:

The recursive relation describes a geometric sequence with a first term of 6 and a common ratio of 5. The general term will be ...

  an = 6·5^(n -1)

So, the 6th term will be ...

  a6 = 6·5^(6-1) = 6·3125

  a6 = 18750

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