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?

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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?

Jordyn Horne · Accepted Answer

We have the sequence 1,10,3,20,9,30,27,40,…  a1=1  a2=10  a3=3=3a1=3a3−2  a4=20=a2+10=a4−2+10  a5=9=3a3=3a5−2  a6=30=a4+10=a6−2+10  a7=27=3a5=3a7−2  a8=40=a6+10=a8−2+10  thus, the relation of the given sequence is  a1=1  a2=10  and an={3an−2,if n is oddan−2+10,if n is even for all n≥3  Hence, we can say that 2 elements will become non-recurrence part. Answer is 2

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

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