Two largest numbers of the fibonacci sequence are F(51)= 20,365,011,074 and F(52)= 32,951,280,099. If these two numbers are added together, what number results?

Respuesta :

Answer:

53,316,291,173

Step-by-step explanation:

If these terms F(51) and F(52) follow the Fibonacci sequence, then the rule for the sequence will be,

[tex]T_{n}=T_{n-1}+T_{n-2}[/tex]

That means,  [tex]T_{53}=T_{51}+T_{52}[/tex]

Therefore, [tex]F_{53}=F_{51}+F_{52}[/tex]

                        = 20,365,011,074 + 32,951,280,099

                        = 53,316,291,173

Therefore, addition of these terms will be 53,316,291,173.

This clearly speaks that in the Fibonacci sequence addition of two terms forms the third number of the sequence.