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.
Answer:
2.35
Step-by-step explanation:
1. Find the area of the triangle by using 1/2 bh.
1/2 (34)(15)=255
2. Find the area of the rectangle by using bh.
(10)(24)=240
3. Subtract the areas.
255-240=15
You find that the area of the shaded area is 15
Solve for t by simplifying both sides of the equation, then isolating the variable.
t = -0.12