Answer:
The difference (d) = - 8
Step-by-step explanation:
1. Let's review the data given to us for solving the question:
Arithmetic series : 14 + 6 + (–2) + (–10) + (–18) + (–26) + (–34)
2. What is the common difference d of the arithmetic sequence on which the series is based?
1st an 2nd element difference = 14 - 6 = 8
2nd and 3rd element difference = - 6 - 2 = -8
3rd and 4th element difference = - 2 + 10 = 8
4th and 5th element difference = -10 + 18 = 8
The difference (d) is 8 and it's negative because the series is lowering the previous value.
3. Proof of d = - 8
14 - 8 = 6
6 - 8 = - 2
- 2 - 8 = - 10
- 10 - 8 = - 18
- 18 - 8 = - 26
-26 - 8 = -34
