Given the following definition, compute Q(5).

Mathematics
Tutor: None Selected Time limit: 1 Day

Jun 21st, 2015

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Q(5) = Q(5-1) + Q(5-2) + Q(5-3)
= Q(4) + Q(3) + Q(2)
=Q(4-1) +Q(4-2) + Q(4-3) + Q(3) + Q(2)
= Q(3) + Q(2) +Q(1) +Q(3) + Q(2)
= 2Q(3) +2Q(2) + Q(1)
=2[Q(3-1)+Q(3-2)+Q(3-3)] + 2Q(2) + Q(1)
=2Q(2) + 2Q(1) + Q(0) + 2Q(2) + Q(1)
= 4Q(2) + 3Q(1) + Q(0)
= 4*3 + 3*1 + 0
=12+3
=15

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Jun 21st, 2015

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