Olympiad workbookIOQMFunctions
Let x₁ be a positive real number and for every integer n 1 let x_ n+1 =1+x₁ x₂ x_ n-1 x_n . If x₅=43 , what is the sum of digits of the largest prime factor of x₆ ?
Correct answer
13
Step-by-step solution
array ll x₅=1+x₁ x₂ x₃ x₄ & x₁ x₂ x₃ x₄=42 x₆=1+x₁ x₂ x₃ x₄ x₅ & =1+(42)(43)=1807=13 139 array largest prime factor =139 sum of digits =13