Fibonacci + Fibonacci

Algebra Level 3

What is the smallest positive integer that cannot be expressed as the sum of 2 Fibonacci numbers $\{0,$ $1,$ $1,$ $2,$ $3,$ $5,$ $8,$ $\ldots \}$ (not necessarily distinct)?

The answer is 12.

1 solution

Matin Naseri
Mar 19, 2018

$\text{F}_n=$ $\text{{0,1,1,2,3,5,8,....}}$

$\text{}2+2=4$

$\text{}3+3=6$

$\text{}2+5=7$

$\text{}8+1=9$

$\text{5+5=10}$

$\text{}8+3=11$

$\text{}12{\rightarrow} can't~be~expressed ~as ~sum~of~two~fibonacci~number$ .

Hence the answer is $\boxed{12}$ .

Fibonacci + Fibonacci

The answer is 12.

1 solution

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