Question

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?

Answer 1

Explanation:

F(53)

Answer 2

53,316,291,173

Explanation:

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

`T_(n)=T_(n-1)+T_(n-2)`

That means,
`T_(53)=T_(51)+T_(52)`

Therefore,
`F_(53)=F_(51)+F_(52)`

= 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.