Jika f(x) = f(x-1) + 1/4 dan f(1) = 4, maka f(201) = .... Question from @rizkyjabeth

October 2018 2 90 Report

Jika f(x) = f(x-1) + 1/4 dan f(1) = 4, maka f(201) = ....

izharulhaq78 $\displaystyle f(1)=a\\\\f(2)=f(2-1)+\frac14\\f(2)=f(1)+\frac14\\f(2)=4+\frac14\\\\b=f(2)-f(1)\\b=4+\frac14-4\\b=\frac14\\\\\therefore f(x)=U_n\\\\U_n=a+(n-1)b\\U_{201}=4+(201-1)\frac14\\U_{201}=4+(200)\frac14\\U_{201}=4+50\\U_{201}=54\\\boxed{\boxed{f(201)=54}}$

5 votes Thanks 3

Abdulhady $f(x)=f(x-1)+ \frac{1}{4} \\f(1)=4\\f(201)=.... ?\\\\f(2)=f(2-1)+ \frac{1}{4} 
\\f(2)=f(1)+ \frac{1}{4} \\f(2)=4+\frac{1}{4} .....(1)\\\\f(3)=f(2)+\frac{1}{4} ....(2)\\f(3)=f(1)+\frac{1}{4} +\frac{1}{4} =f(1)+2. (\frac{1}{4} )\\\\f(n)=f(1)+(n-1).(\frac{1}{4} )\\f(201)=f(1)+(201-1).(\frac{1}{4} )\\f(201)=4+200(\frac{1}{4} )\\f(201)=54$

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The-L

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