# Please show all work: Let P1 = 1 If x is odd then Px+1 = 2Px...

Let P1 = 1

If x is odd then Px+1 = 2Px

If x is even then Px+1 = 2Px +1

Prove that 2Px+1 + 2Px+1 +1 = Px+2 is true and then solve it.

First note that But if the given relation were true then for x=1, we should have .

Rather by definition of P, it will satisfy . Let us prove this.

If x=2k, even, then .

If x=2k-1, odd, then .

Now to solve the relation.  Hence ##### Add Answer of: Please show all work: Let P1 = 1 If x is odd then Px+1 = 2Px...
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