Answer:
B
Step-by-step explanation:
A geometric series will only converge if the common ratio r meets the requirement
- 1 < r < 1
The n th term of a geometric sequence is
= a
where a is the first term and r the common ratio
All terms inside the summation are of this form
The only one with - 1 < r < 1 is B where r = = 0.75
Answer:
-3 < x < 3
x is some number between -3 and 3; x cannot equal -3, x cannot equal 3
graph shown below
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Work Shown:
5|x| + 3 < 18
5|x| + 3 - 3 < 18-3 ... see note 1
5|x| < 15
(5|x|)/5 < 15/5 .... note 2
|x| < 3
-3 < x < 3 .... note 3
graph shown below
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note 1: Subtract 3 fom both sides to undo the "+3"
note 2: Divide both sides by 5 to undo the multiplication
note 3: If |x| < k, for some positive number k, then -k < x < k
