2) The partial sum is defined as Sn а; — ај + а2 + аз +: + an . The infinite series (or simply i=1 n the series) An lim ) lim Sn. In another word, a series is the infinite sum of a sequence. n=1 i=1...

Extracted text: 2) The partial sum is defined as Sn а; — ај + а2 + аз +: + an . The infinite series (or simply i=1 n the series) An lim ) lim Sn. In another word, a series is the infinite sum of a sequence. n=1 i=1 However, a series is also a sequence. Let's demonstrate this: Let the sequence an 1 and Sn An• n n=1 Please list the first 5 terms of the sequence and the series separately. (For the series, you do not need to get the actual sum; just leave it as a sum).