WEBVTT

1
00:00:00.000 --> 00:00:03.936
Here is the problem: Σ k for k equals 1 to 10.

2
00:00:04.386 --> 00:00:08.438
Add the terms k for k equals 1, 2, …, 10 (10 terms).

3
00:00:09.238 --> 00:00:10.132
Write the sum.

4
00:00:10.582 --> 00:00:11.964
List the first terms.

5
00:00:12.414 --> 00:00:15.084
Add all 10 terms exactly (as fractions).

6
00:00:15.884 --> 00:00:17.904
So the answer is 55.

7
00:00:18.354 --> 00:00:26.551
Each term is computed exactly and added. For long arithmetic or geometric sums a closed formula gives the same result.

8
00:00:27.351 --> 00:00:29.638
Decimal value: 55.
