Mathegoras

Sequences and series › Recursive sequences › Computing terms of a recurrence

Initial terms of a recursive sequence

High school · ●●●○○ 50 pts

Let the sequence of positive integers {an}\{a_n\} satisfy an+3=an+2(an+1+2an)a_{n+3}=a_{n+2}\left(a_{n+1}+2a_n\right) for n=1,2,…n=1,2,\ldots, and a6=2288a_6=2288. Find a1a_1, a2a_2, a3a_3.

Sign in to save your progress.

recurrence relationsfactor pairsprime factorisation