Arithmetic Sequences and Series

Common Difference

100

Find the common difference 17,12,7

-5

200

Find the common difference -129,-98,-67

31

300

Find the common difference 244,187,130

-57

400

Find the common difference 7,11,15

4

500

Find the common difference -10,-5,0

5

Random math

100

Solve for x 

x/3+2=7

x=15

200

Find the equation of the line in slope intercept form through (0,-8) and (7,0)

y=8/7x-8

300

Solve the system of equations: 

4x+y=16

2x+3y=18

(3, 4)

400

Factor the expression

18x²+9x-20

(3x+4)(6x-5)

500

What is the acronym we use to show that matching parts of congruent triangles are equal to each other? 

CPCTC

Find the nth term

100

Find the 38th term of the arithmetic sequence -29,-2,25...

970

200

Find the 68th term of the arithmetic sequence 25,17,9....

-511

300

Find the 27th term of the arithmetic sequence 5,8,11,14...

83

400

Find the 16th term of the arithmetic sequence 17,12,7...

-58

500

Find the 14th term of the arithmetic sequence 244,187,130..

-497

Sum of the Arithmetic series

100

Find the indicated sum for -5+2+9+....+317

7332

200

Find the 28th partial sum of 27+14+1+...

-4158

300

Find the 27th partial sum of 27+14+1+...

-3834

400

Find the 19th partial sum of -19+23+65+....

6821

500

Find the indicated sum of the arithmetic series 211+193+175+...+(-455)

-3744

Exponents

100

Write in simplest form 

(6b²)²

36b⁴

200

Write as a single power of 2 

1/64

2^-6

300

Write as a single power of 3 

9^a/3^1-a

3^3a-1

400

Write without fractions 

(x³-3x+5)/x²

x-3x^-1+5x^-2

500

Expand and write in simplest form 

(x²-x)²

x⁴-2x³+x²