Answer:

Step-by-step explanation:
Given sequence: 
Therefore,
General form of an arithmetic sequence: 
(where a is the first term and d is the common difference)
To find the common difference, subtract a term from the next term:

Therefore,

To find the 6th term, input n = 6 into the equation:

Step-by-step explanation:
The lines have different slopes
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|x-6| < 1 + 10 (move 10 to the right side)
|x-6| < 11
1)x-6 < 11 (here x >= 6)
2)-x+6 < 11 (here x < 6)
1)x<17
2)x>-5
so we get -5 < x < 17
the answer: (-5; 17)
Answer:
Step-by-step explanation:
x² +7x + 6 = (x+1)(x+6)