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shtirl [24]
2 years ago
6

If f(1) = 1 and f(n) = 5f(n-1) + 4 then find the value of f(5).

Mathematics
2 answers:
klasskru [66]2 years ago
6 0

Answer:

f(5)=1249

Step-by-step explanation:

Given:

  • f(1)=1
  • f(n) = 5f(n-1)+4

\implies f(2) = 5f(1)+4=5(1)+4=9

\implies f(3) = 5f(2)+4=5(9)+4=49

\implies f(4) = 5f(3)+4=5(49)+4=249

\implies f(5) = 5f(4)+4=5(249)+4=1249

erik [133]2 years ago
4 0
  • f(n)=5f(n-1)+4
  • f(2)=5f1+4=5+4=9
  • f(3)=5f2+4=45+4=49
  • f(4)=5f3+4=245+4=249
  • f(5)=5f_4+4=1245+4=1249
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