Find the sum of the first 8 terms of the sequence. Show all work for full credit.1, -3, -7, -11, ...

Mathematics · High School · Sun Jan 24 2021

Answered on

Given the sequence:

1, -3, -7, -11, …

Determine the sum of the first 8 terms.

Solution:

The given can be solved using logical analysis, list first all the terms, then add.

1st term = 1
2nd term = -3
3rd term = -7
4th term = -11

To ger the succeeding terms, we subtract -4.

5th term = -15
6th term = -19
7th term = -23
8th term = -27

Add all the values.

= 1 - 3 - 7 - 11 - 15 - 19 - 23 - 27

= -104

Final answer:

= -104