Answer:
10.
Step-by-step explanation:
9e + 4 = -5e + 14 + 13e
9e + 5e - 13e = 14 - 4
e = 10
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

.
Answer:
3
Step-by-step explanation:
I think its 3 because if its 6 then you divide. it by 2
Answer:
1¹/₃₀
Step-by-step explanation:
The 3 gallons were partially full
They contain 1/3 of a gallon and 1/5 and 1/2 of a gallon of paint.
the first is 1/3 of the gallon
the second is 1/5 of galloon
the third is 1/2 of gallon adding them together
1/3 +1/5 +1/2 = (10+6+15)/30 = 31/30 = 1¹/₃₀