Answers

2016-06-23T17:03:29+08:00
The answer is 3.
5k-3, k+2, and 3k-11
= 5(3)-3, 3+2, 3(3)-11
= 12, 5, -2




0
  • Brainly User
2016-06-27T23:27:22+08:00
Solution:
Equate the common difference.

(k+2) - (5k-3) = (3k-11) - (k+2)  
k + 2 - 5k + 3 = 3k - 11 - k - 2
-4k + 5 = 2k - 13
2k + 4k = 5 + 13
6k = 18
6k/6 = 18/6
k = 3

ANSWER: 3

Check:
5(3) + 3 = ? 
15 - 3 = 12

3 + 2 = 5

3(3) - 11
9 - 11 = -2

The sequence: 12, 5, -2
Common difference: -7
2 5 2