troy and his sister caitlin can earn money by choosing to do chores around the house . last month caitlin earned $5 more than tw
2 answers:
You might be interested in
Given:
To find:
The value of .
Solution:
We know that,
...(i)
Where n is an integer.
We have,
Using (i), it can be written as
It is given that .
Therefore, the value of the given function expression is .
Answer:
a). converges
b). diverges
c). converges
Step-by-step explanation:
{ } = {
}
Using radio test,
L =
=
=
=
= |r|
Therefore, converges in |r| < 1
a). r = 1/5
This sequence is monotonically decreasing and bounded.
0 < < 1
Hence, { } converges.
b). r = 1
{ } = { n }
This sequence is monotonically increasing sequence which is not bounded.
Hence, { } diverges.
c). r = 1/6
This sequence is monotonically decreasing and bounded.
0 < < 1
Hence, { } converges.
For |r| < 1, the converges.