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Question

Write the first five terms of the sequence and obtain the corresponding series:
a1=a2=2,an=an11,n>2

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Solution

Given,

a1=a2=2

Formula,

an=an11

a3=a311

=a21=21=1

a4=a411

=a31=11=0

a5=a511

=a41=01=1

Hence the first five terms of the series are:

2,2,1,0,1

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