ams 301 Third Test Solutions

ams 301 Third Test Solutions - Test B: an = an-1 + an-2 +...

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Third Test Solutions Solution to Fall 2009 Third Test 1. 5! - 8x4! + 21x3! - 20x2! + 6x1! 2. 10!/3!3!2! -(2x8!/3!3! + 9!/3!3!) + (2x7!/3! + 6!/2!) - 5! 3. an,k = an-3,k-1 + an-5,k-1 + an-8,k-1. 4. Test A: a) an = an-2 + an-3 + an-4, b) an = an-2 + an-3 + an-4 - an-6. 5. C(P(8,3),30) - 8xC(P(7,3),30) + C(8,2)xC(P(6,3),30) - C(8,3)xC(P(5,3),30). Solution to Fall 2008 Third Test 1.Test A: 5! - 8x4! + 21x3! - 20x2! + 6x1! . Test B: 5! - 8x4! - 22x3! + 24x2! - 9x1! 2. Test A: C(37,12)- [C(22,12) + C(25,12) + C(27,12)} + C(15,12) + C(12,12). Test B: C(31,10) - {C(19,10) + C(20,10) + C(23,10)} - C(12,10) + C(11,10). 3. Test A: an,k = an-2,k-1 + an-3,k-1 + an-4,k-1 + an-5,k-1. Test B: an,k = an-3,k-1 + an-4,k-1 + an-5,k-1 + an-6,k-1. 4. Test A: a) an = an-1 + an-2 + an-3, b) an = an-1 + an-2 + an-3 - an-6.
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Unformatted text preview: Test B: an = an-1 + an-2 + an-3, b) an = (an-1 - an-6) + an-2 + an-3. 5.Test A: 35^10 - 5*34^10 + C(5,2)*33^10 - C(5,3)*32*10 + C(5,4)*31^10 - 30^10. Test B: 28^12 - 7*27^12 + C(7,2)*26^12 - C(7,3)*25*12 . . . - C(7,7)*21^12. Solution to Fall 2007 Third Test 1. 5!-9x4! + 27x3!-31x2! + 12. 2. 26!-3x23! + 2x20! 3. an,k = an-2,k-1 + . . .+ an-5,k-1, 4. a) an = 2an-1 + an-2, b) an = 2an-1 + an-2 - an-3. 5. P(C(7+2-1,2),6) - 7xP(C(6+2-1,2),6) + C(7,2)xP(C(5+2-1,2),6) - C(7,3)xP(C(4+2-1,2),6) + C(&,4)xP(C(3+2-1,2),6). 5: alt 18!/3!^6 - C(6,1)x6x15!/3!^5 + C(6,2)x6x5x12!/3!^4 . . etc....
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