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BorjanCrvenkov

rekurzija zadaca 3

Dec 27th, 2019
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  1. /*
  2. Да се напише програма што ќе ја испишува вредноста на n-тиот член на низата
  3. дефинирана со: \[ \begin{array}{l} x_1 = 1\\ x_2 = 2\\ \vdots\\ x_n = \frac{n -
  4. 1}{n}x_{n - 1} + \frac{1}{n}x_{n - 2} \end{array} \]
  5.  
  6. */
  7.  
  8. #include <stdio.h>
  9.  
  10. int main()
  11. {
  12. float rekurzija(float n){
  13. if(n==1){
  14. return 1;
  15. }
  16. if(n==2){
  17. return 2;
  18. }
  19. else{
  20. return (((n-1)*rekurzija(n-1))+rekurzija(n-2))/n;
  21. }
  22. }
  23. float a;
  24. scanf("%f",&a);
  25. printf("%.2f",rekurzija(a));
  26. }
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