MATH 131 FINAL EXAM QUESTIONS
AND ANSWERS
Nameg5gproblemgsolvinggstrategiesg-gans-1.gMakinggagTable
2.gUsinggagModelg
3.gWorkinggbackwardsg
4.gMakinggagdiagramg
5.gGuessgandgCheck
Thegtransparencygofggridgwithgblocksgcoloredgingredgforgsumsgofg1gtog8gisgan
gexamplegofgwhichgstrategy?g-gans-Usinggagmodel
Al,gBev,gCarl,gDonna...gwhatgcouldgbegsomegpossiblegoutcomesgofgthegpattern.g
-gans-Emmag(startsgwithgE)
Eddieg(boy)
Edwardg(6gletters)
FibonaccigSequenceg-gans-
Startsgwithg1,gthen,gthengisgdefinedg"recursively"g(eachgnumbergisgthegsumgofgt
hegtwogproceedinggnumbers.g
Studdiedgbygbirthratesgofgrabbits
1,g1,g2,g3,g5,g8,g13....gthisgisgangexamplegof?g-gans-FibonaccigSequence
Pascal'sgTriangleg-gans-
Pentagongnumbersg-gans-1,g5,g12,g22,g35,g51....
Oblonggnumbersg-gans-2,g6,g12,g20g....
Setgdefinitiong-gans-agcollectiongofgobject
Elementgdefinitiong-gans-Thegobjectsgingagset
NullgsetgorgEmptygSetg-gans-doesntgexistgingset,grepresentedgbyg{}
UniversegDefinitiong-gans-Thegsetgofgallgogbjectsgbeinggconsidered
Disjointg-gans-Twogsetsghavegnogelementgingcommon
Complimentg-gans-B'g=geverythinggoutsidegofgb
AND ANSWERS
Nameg5gproblemgsolvinggstrategiesg-gans-1.gMakinggagTable
2.gUsinggagModelg
3.gWorkinggbackwardsg
4.gMakinggagdiagramg
5.gGuessgandgCheck
Thegtransparencygofggridgwithgblocksgcoloredgingredgforgsumsgofg1gtog8gisgan
gexamplegofgwhichgstrategy?g-gans-Usinggagmodel
Al,gBev,gCarl,gDonna...gwhatgcouldgbegsomegpossiblegoutcomesgofgthegpattern.g
-gans-Emmag(startsgwithgE)
Eddieg(boy)
Edwardg(6gletters)
FibonaccigSequenceg-gans-
Startsgwithg1,gthen,gthengisgdefinedg"recursively"g(eachgnumbergisgthegsumgofgt
hegtwogproceedinggnumbers.g
Studdiedgbygbirthratesgofgrabbits
1,g1,g2,g3,g5,g8,g13....gthisgisgangexamplegof?g-gans-FibonaccigSequence
Pascal'sgTriangleg-gans-
Pentagongnumbersg-gans-1,g5,g12,g22,g35,g51....
Oblonggnumbersg-gans-2,g6,g12,g20g....
Setgdefinitiong-gans-agcollectiongofgobject
Elementgdefinitiong-gans-Thegobjectsgingagset
NullgsetgorgEmptygSetg-gans-doesntgexistgingset,grepresentedgbyg{}
UniversegDefinitiong-gans-Thegsetgofgallgogbjectsgbeinggconsidered
Disjointg-gans-Twogsetsghavegnogelementgingcommon
Complimentg-gans-B'g=geverythinggoutsidegofgb