a sequence {an} is defined recursively by the equation an=0.5(an-1+an-2) for n3 where a1 = 18, a2 = 19. Use your calculator to guess the limit of the sequence

Question

a sequence {an} is defined recursively by the equation an=0.5(an-1+an-2) for n>3 where a1 = 18, a2 = 19. Use your calculator to guess the limit of the sequence

el_arrow · Answer

@SithsAndGiggles could you please help me with this problem

anonymous · Answer

Since you can use a calculator: http://www.wolframalpha.com/input/?i=N%5BRecurrenceTable%5B%7Ba%5Bn+%2B+2%5D+%3D%3D+1%2F2+%28a%5Bn+%2B+1%5D+%2B+a%5Bn%5D%29%2C+a%5B1%5D+%3D%3D+18%2C+++++a%5B2%5D+%3D%3D+19%7D%2C+a%2C+%7Bn%2C+1%2C+100%7D%5D%5D