Matrices I
Matrices II
Sequences
Series
Applications
100

The determinant of the matrix 

What is 29 ?

100

The solution to the system of equations is


What is 

(-1,2)

100

The first five terms of 

a_n=6n-3

What are 3, 9, 15, 21, 27 ?

100

The sum of the series

\sum_{i=1}^{5}(3i+1)

 

What is 50 ?

100

The sum of all integers from 51 to 71.

What is 1281 ?

200

The value of Dx for the system 

What is -15 ?

200

The determinant of the matrix 

What is 0 ?

200

The first five terms of the sequence 

a_n=(-1)^{n-1}(4n)

What are 4, -8, 12, -16, 20 ?

200

The sum of the series 

\sum_{i=1}^{5}1/(i+1)

What is 

29/20 ?

200

The number of telephone poles in a stack that has 30 poles in the bottom row, 29 poles in the next row and so on.

What is 465 poles?

300

The value Dy for the system 

What is 11 ?

300

The partial fraction decomposition is


What is 

1/(x-2) + 1/(x+1)

300

a_1  

 for the arithmetic sequence with

a_5=5 and a_8=17

What is -11 ?

300

The sum of the first 10 terms of the arithmetic sequence having 

a_1=2 and d=5

What is 245?

300

The total number of ancestors a person has going back 10 generations. (Hint: a person has two parents, four grandparents, eight great-grandparents, etc.)

What is 2046 ancestors ?

400

The determinant of 

What is 16 ?

400

The partial fraction decomposition is


What is 

-1/x - 1/x^2 + 1/(x-1)

400

a_3

 for the geometric sequence with

a_1=-2 and r=-3

What is 

a_3=-18

400

The sum of the terms 

5+3+9/5+\cdots+243/625

What is 

7448/625 ?

400

The total accumulated salary after 10 years with a starting salary of $30,000 with an annual raise of $2,500.

What is $412,500 ?

500

Using an augmented matrix, the solution of the system

What is (1, 0, 2) ?

500

Using Cramer's Rule, the solution of the system 

What is (-2, 1) ?

500

a_n

 for the geometric sequence with

a_1=-2 and r=-3


What is 

a_n=-2(-3)^{n-1} ?

500

The infinite sum of 

\sum_{k=1}^{oo} 3(2/3)^k

What is 6?

500

The number of years it takes for your accumulated earnings to reach $492,000 when you started with a $30,000 salary and received a $2000 annual raise.

What is 12 years ?

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