Find the first six terms of the sequence defined by

Marenonigt

Marenonigt

Answered question

2021-12-10

Find the first six terms of the sequence defined by each of these recurrence relations and initial conditions.
an=an1an2+an3,a0=1,a1=1,a2=2

Answer & Explanation

jean2098

jean2098

Beginner2021-12-11Added 38 answers

Given:
an=an1an2+an3
a0=1
a1=1
a2=2
The first term is 1, the second term is 1 and the third term is 2. Each term is the difference of the two previous terms increased by the third previous term.
a0=1
a1=1
a2=2
a3=a2a1+a0=21+1=2
a4=a3a2+a1=22+1=1
a5=a4a3+a2=12+2=1

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