Answer:
None of the above
Step-by-step explanation:
According to the divergence test, if the limit of a sequence as n approaches infinity does not equal 0, then the series diverges. (Notice that if the limit does equal 0, the series doesn't necessarily converge).
According to the geometric series test, a geometric series converges if -1 < r < 1, and diverges otherwise.
The first series is a geometric series with r = -5/3. So it diverges.
The second series is also a geometric series:
3ⁿ⁻¹ / 2ⁿ = ⅓ (3ⁿ / 2ⁿ) = ⅓ (3/2)ⁿ
r = 3/2, so it diverges.
For the third series, the limit as n approaches infinity equals 1. This fails the divergence test, so this series also diverges.
For the fourth series, the limit as n approaches infinity equals 1. This fails the divergence test, so this series also diverges.
Answer:
0.4
Step-by-step explanation:
all I got to say is that the answer is 0.4 %100
Answer:
I think it is 8! Sorry if it's wrong!
Answer: x=13
Step 1: Define isosceles triangle
In an isosceles triangle, two sides and angles are equal. The equal sides will be the legs.
Step 2: Write an equation
To write an equation we must first consider the information discussed in step 1. Since we know that the legs will be equal, we will add that to the equation twice. The base and legs will be on one side of the equation, and the perimeter will be on the other. Now we can write the equation!
x+3x-7+3x-7=77
Step 3: Combine like terms
Like terms are terms that share the same variable, or lack of. Let’s add/subtract these now.
x+3x-7+3x-7=77
7x-14=77
Step 4: Solve for x
Let’s do the last part of the equation and solve for x, our final answer.
*Rewrite equation*
7x-14=77
*Add 14 to both sides*
7x=91
*Divide 7 on both sides*
x=13
This is your answer. Hope this helps! Comment below for more questions.
