Zalozmy, ze f(0)=3 oraz f(n)=f(n-1)+2. Ile wynosi suma cyfr f(f(f(f(5))))?
f(0)=3
f(1)=3+2=5
f(2)=5+2=7 ...
a_n=a_1+(n-1)*2=2n-2+5=2n+3
f(n)=2n+3
f(5)=2*5+3=13
f(13)=2*13+3=29
f(29)=2*29+3=61
f(61)=2*61+3=125
f(f(f(f(5))))=f(f(f(13)=f(f(29)=f(61)=125
Suma cyfr 1+2+5=8
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f(0)=3
f(1)=3+2=5
f(2)=5+2=7 ...
a_n=a_1+(n-1)*2=2n-2+5=2n+3
f(n)=2n+3
f(5)=2*5+3=13
f(13)=2*13+3=29
f(29)=2*29+3=61
f(61)=2*61+3=125
f(f(f(f(5))))=f(f(f(13)=f(f(29)=f(61)=125
Suma cyfr 1+2+5=8