Geo and Arith Practice

Geometric(ratio)

100

5, 15, 45, 135, 405, 1215

r= 3x

200

3, -12, 48, -192, 768, -3072

r= -4x

300

1701, 567, 189, 63, 21, 7

r= 1/3x

400

64, 48, 36, 27

r= 3/4x

500

2/9, 2/3, 2, 6, 18,

r= 3x

Function Notation

100

Given f (x) = 5x - 3, find f (-2).

x= -13

200

Find g(2)-1 when g(x) = 8x + 12.

x= 27

300

Find f(3)+f(4) when f(x)=5x−19

x= -3

400

Find g(a + 1) when g(x) = 4x + 1.

4a+5

500

Given h (x) = 3x - 1, find h (a + 3).

3a+8

Arithmetic(difference)

100

5, 12, 19, 26, 33, 40

d= 7

200

24, 13, 2, -9, -20, -31

d= -11

300

8, 13, 18, 23, 28,  

d= 5

400

-40, -25, -10, 5,

d= 15

500

18/5 , 16/5 , 14/5

d= 2/5

Find Nth Term

100

Find the 6th term 3, 1, -1,

d= -2

200

Find the 9th term −3, −15, −75, −375, 

n= -1,171,875

300

Find the 7th term 6.2, 8.1, 10.0, 11.9,

d= 1.9

400

Find the 7th term 1, −5, 25, −125

n= 15,625

500

Find the 3rd term -60, 120,

r= -2

SPECIAL

100

What are the next 4 terms 

a1 = 4, r = 5

4, 20, 100, 500, 2500

200

Fill in the missing terms 

Find the missing term in the following Arithmetic sequence. -13, ___ ,-27 

d = -20

300

Find the missing term Arithmetic sequence. 

10, ____, __18__ , _____, 26

14 and 22

400

Find the missing terms in the following geometric sequence. 4, ___ , _____, _____, 324

12, 36 and 108

500

Find the missing term in the following Geometric sequence. 2, ____, 128  

r= 16