If a1=1,a2=1 and an=2an-1+an-2,n€N find the six terms of the sequnce
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sorry can't understand
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The First six term of the sequence are 1,1,3,7,17,41,...
Step-by-step explanation:
a1=1,a2=1, an=2an-1+an-2
a3=2a(3-1)+a(3-2)
=2a2+a1
=2×1+1
=3
a4=2a(4-1)+a(4-2)
=2a3+a2
=2×3+1
=7
a5=2a(5-1)+a(5-2)
=2a4+a3
=2×7+3
=17
a6=2a(6-1)+a(6-2)
=2a5+a4
=2×17+7
=34+7
=41
ஃ The first six terms of the sequence are 1,1,3,7,17,41,... .
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