Answer:
The original price of the item was $83
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Answer:
-10
Step-by-step explanation:
-4 between each number
Assuming the series is

The series will converge if

We have

So the series will certainly converge if

, but we also need to check the endpoints of the interval.
If

, then the series is a scaled harmonic series, which we know diverges.
On the other hand, if

, by the alternating series test we can show that the series converges, since

and is strictly decreasing.
So, the interval of convergence for the series is

.
<h3>
Answer: 1/6</h3>
Work Shown:
x = 0.1666666...
10x = 1.666666...
100x = 16.666666...
100x - 10x = 16.666666... - 1.666666...
90x = 15
x = 15/90
x = (1*15)/(6*15)
x = 1/6
So, 1/6 = 0.1666666...