# Is sum of a series correct terminology?

What is the correct terminology when referring to the sum of a sequence? I see people and websites use "sum of the series...", but shouldn't we say the value of the series? (Sum of a sequence and value of a series). I would go as far as say that the sum of a series is 1, because it contains 1 series.

• Yes, in principle it should be value, but sum is well-established. – André Nicolas May 8 '14 at 2:13

The sum of the series makes sense, since the series is defined as a sum $\sum^\infty_{k=1}a_k$. You are confusing yourself - you are mixing it up - you're thinking that a sequence (in formal terminology) is a series (in your terminology), and a series (in formal terminology) is a sequence (in your terminology).