what is f(5) if f(1) = 3.2 and f(x+1)=5/2(f(x))

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23-04-2018
Mathematics

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what is f(5) if f(1) = 3.2 and f(x+1)=5/2(f(x))

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mkryukova19 mkryukova19 · Answer 1 · 2018-04-23T17:14:36+02:00

mkryukova19 mkryukova19

23-04-2018

1) f(1)=3.2
f(2)=(5/2)f(1)
f(3)=(5/2)f(2)=(5/2)*(5/2)f(1)=(5/2)²f(1)
f(4)=(5/2)*f(3)=(5/2)*(5/2)²f(1)=(5/2)³f(1)
f(5)=(5/2)*f(4)=(5/2)*(5/2)³f(1)=(5/2)⁴*f(1)=3.2*(5/2)⁴ =125

2)It is a geometrical sequence, so you can use formula
a(n)=a(1)*r^(n-1)
a(5)==3.2*(5/2)^(5-1)=3.2*(5/2)⁴ =125

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Xreikua Xreikua · Answer 2 · 2019-02-12T00:49:23+01:00

Xreikua Xreikua

12-02-2019

Answer:

125

Good luck and have a great day :)

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