Question

what's the difference between a sequence and a series?

Answer 1

A sequence is an ordered set of "things".
A series is a summation over a sequence.

Answer 2

So, a sequence might be 1, 3, 5, 7
whereas a series would be: 1 + 3 + 5 + 7

Answer 3

what nubsauce said. with the sophistication that if you have a series, you then have a sequence of 'partial sums'

Answer 4

for example if the original sequence was
1,3,5,7,9,...
then the series would be
1+3+5+7+9+... and the "sequence of partial sums" would be
1
1+3
1+3+5
1+3+5+7
1+3+5+7+9
...

Answer 5

hm