Simon's Sequence

Algebra Level 2

$\Large 1, 1, 2, 3, 5 \cdots$

In the above sequence, the next number is always the sum of the two before it.

If the first two values of the sequence are both 7, would 29267 be part of the sequence?

Yes No

1 solution

Zach Abueg
Aug 20, 2017

$G_n = 7, 7, 14, 21, 35, 56, 91, \ldots \\ F_n = 1, 1, 2, 3, 5, 8, 13, \ldots$

$G_n$ is just $7F_n$ ! In fact, $\dfrac{29267}{7} = 4181 = F_{19}$ .