Arithmetic series is defined by:
a + (a+d) + (a+2d) + (a+3d) + ..... + (a+(n1)d) = n (2 a + (n  1) d) / 2
Geometric series is defined by:
a + ar + ar^{2} + ar^{3} + ..... + ar^{n1} = a (1  r^{n}) / (1  r), for r not equal to 1
Examples:
3, 8, 13, 18, 23, . . .  arithmetic sequence  with common value of 5 
1, 2, 4, 8, 16, . . . . .  geometric sequence  with common ratio of 2 
24, 12, 6, 3, 3/2, 3/4, . .  geometric sequence  with common ratio of 1/2 
55, 51, 47, 43, 39, 35, . . .  arithmetic sequence  with common value of  4 
2, 5, 10, 17, . . .  Neither arithmetic nor geometric  
3, 11, 19, 27, 35, . . .  arithmetic sequence  with common value of 8 
2/9, 2/3, 2, 6, 18, . . .  geometric sequence  with common ratio of 3 
1, 3, 4, 7, 8, 11, . . .  Neither arithmetic nor geometric  
9, 6, 3, 0, 3, 6 . . .  arithmetic sequence  with common value of 3 
9, 9, 9, 9, 9, 9 . . .  either arithmetic or geometric  with common value of 0 or common ratio of 1 
1, 4, 9, 16, 25, 36, . . .  Neither arithmetic nor geometric  
4, 1, 6, 11, 16, . . .  arithmetic sequence  with common value of 5 
3, 3, 3, 3, 3, . . .  geometric sequence  with common ratio of 1 
Directions: Answer the following questions. Also write at least 5 examples of your own.
