Question

Provide an example of an arithmetic series which totals zero. Using complete sentences, explain how you created the example.

Answer 1

infinite series or finite?

Answer 2

a + d(1)
a + d(2)
a + d(3)
a + d(4)
-------
4a + d(10) = 0

d(10) = -4a

d = -2a/5

say a =, i dunno, 2 for example

2 - 4/5 = 6/5
2 - 8/5 = 2/5
2 -12/5 = -2/5
2 -16/5 = -6/5
------
0

Answer 3

oh, how did you create that example?

Answer 4

a series example

Answer 5

just start in the middle and add and subtract yor way out

Answer 6

Which one is the series?

Answer 7

a simple way is to choose 4 numbers each side of 0 which have a common ratio
such as

-2, -1, 0, 1, 2

Answer 8

......a-d(n),..., a ,..., a + d(n),...

Answer 9

yeah, but a common difference instead :)

Answer 10

* common difference

Answer 11

right amistre!!

Answer 12

the zero can be excluded, or kept intact ...

Answer 13

my original took the general equation to define a means to determine a suitable series; but as it turns out .... it just amounts to negations

Answer 14

choose a negative first term and a common difference
say -6 and 4 then add terms so as to make the sum zero-

-6, -2, 2, 6

Answer 15

Thanks guys