8/9/2019 Complete SAT Guide 2010, 13th Edition, Gary Gruber, p14, #15 (using TI-84)

http://slidepdf.com/reader/full/complete-sat-guide-2010-13th-edition-gary-gruber-p14-15-using-ti-84 1/5

SAT - Math Page 1 of 5

p0014.n15 Mr. Bujak 

Complete SAT Guide 2010, 13th

edition

Gary R. Gruber, Ph.D., p14, #15

Edward Bujak 

The sum of the cubes of any two consecutive positiveintegers is always

[A] an odd integer[B] an even integer

[C] the cube of an integer[D] the square of an integer

[E] the product of an integer and 3

Native TI-84 functionality:

L1 is nL2 is

33 1n n  

L3 is 33 33 1 2n n L  

L4 is 33 1 2n n L  

L5 is

33 1 2

3 3

n n  L

 

Notice that the units (ones) digit of  33 1n n is a cyclic pattern of 9-5-1-9-1 ==> odd

2nd column (L2) makes [B] incorrect.

3rd column (L3) makes [C] incorrect.

4th column (L4) makes [D] incorrect.5th column (L5) makes [E] incorrect.

8/9/2019 Complete SAT Guide 2010, 13th Edition, Gary Gruber, p14, #15 (using TI-84)

http://slidepdf.com/reader/full/complete-sat-guide-2010-13th-edition-gary-gruber-p14-15-using-ti-84 2/5

SAT - Math Page 2 of 5

p0014.n15 Mr. Bujak 

Clear the lists that we will use (L1, L2, L3, L4, L5)

Enter n from 1 to 8 in column 1 (L1):

8/9/2019 Complete SAT Guide 2010, 13th Edition, Gary Gruber, p14, #15 (using TI-84)

http://slidepdf.com/reader/full/complete-sat-guide-2010-13th-edition-gary-gruber-p14-15-using-ti-84 3/5

SAT - Math Page 3 of 5

p0014.n15 Mr. Bujak 

Enter 33 1n n in column 2 (L2):

Move to the L2 column label

8/9/2019 Complete SAT Guide 2010, 13th Edition, Gary Gruber, p14, #15 (using TI-84)

http://slidepdf.com/reader/full/complete-sat-guide-2010-13th-edition-gary-gruber-p14-15-using-ti-84 4/5

8/9/2019 Complete SAT Guide 2010, 13th Edition, Gary Gruber, p14, #15 (using TI-84)

http://slidepdf.com/reader/full/complete-sat-guide-2010-13th-edition-gary-gruber-p14-15-using-ti-84 5/5

SAT - Math Page 5 of 5

p0014.n15 Mr. Bujak 

Enter

33 1 2

3 3

n n  L

in column 5 (L5):

Move to the L5 column label