The infinite sequence will be defined as recurrent relation: 1,10,3,20,9,30,27,40,… The sequence is a composition...

blitzbabeiy

blitzbabeiy

Answered

2022-01-22

The infinite sequence will be defined as recurrent relation:
1,10,3,20,9,30,27,40,
The sequence is a composition of some arithmetic and/or geometric sequences. How many elements will become non-recurrent part?

Answer & Explanation

Jordyn Horne

Jordyn Horne

Expert

2022-01-23Added 16 answers

We have the sequence 1,10,3,20,9,30,27,40,
a1=1
a2=10
a3=3=3a1=3a32
a4=20=a2+10=a42+10
a5=9=3a3=3a52
a6=30=a4+10=a62+10
a7=27=3a5=3a72
a8=40=a6+10=a82+10
thus, the relation of the given sequence is
a1=1
a2=10
and an={3an2,if n is oddan2+10,if n is even for all n3
Hence, we can say that 2 elements will become non-recurrence part. Answer is 2

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