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find a recursive definition for the set of all positive integers which ends in 5 or 6 Let bn be the number of binary strings of length n which...

  1. find a recursive definition for the set of all positive integers which ends in 5 or 6
  2. Let bn be the number of binary strings of length n which contains 3 consecutive ones. Given that b0=0, b1=0,b2=0,b3=1,b4=3,b5=8 find a recurrence relation for bn.
  3.  Let an= 5*2^n + 2(-3)^n, n>0. Find a linear homogenous recurrence relation of degree two which the sequence satisfies.
  4. How many solutions in non-negative integers are there to x1+x2+x3+x4+x5+x6+x7=66, if x1<=6, x2<=8 and x3<=10?
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