Find the first six terms of the sequence defined by

vakirnarhh

vakirnarhh

Answered question

2021-12-04

Find the first six terms of the sequence defined by each of these recurrence relations and initial conditions.
an=nan1+an22,a0=1,a1=0

Answer & Explanation

Steven Arredondo

Steven Arredondo

Beginner2021-12-05Added 18 answers

Given:
an=nan1+an22
a0=1
a1=0
The first term is 2 and the second term is -1. The nth term is n multiplied by the previous term and increased by the square of the term before the previous term.
a0=1
a1=0
a2=2a1+a02=2(0)+(1)2=0+1=1
a3=3a2+a12=3(1)+02=3+0=3
a4=4a3+a22=4(3)+12=12+1=13
a5=5a4+a32=5(13)+32=65+9=74

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