Answer:
The series converges.
Step-by-step explanation:
According to the alternating series test:
For a series ∑(-1)ⁿ aₙ or ∑(-1)ⁿ⁺¹ aₙ
If lim(n→∞) aₙ = 0
and aₙ is decreasing,
then the series converges.
aₙ = n² / (n³ + 1)
Since the power of the numerator is less than the power of the denominator, lim(n→∞) aₙ = 0.
Since n² / (n³ + 1) > (n+1)² / ((n+1)³ + 1), the series is decreasing. (We could also prove this by showing that the derivative is negative.)
Therefore, the series converges.
Answer:
36
Step-by-step explanation:
Kendra has 4 so 52-4 (so it's out of the way) now you have 48
Divide 48 by 3 (leaves you 16). It can't be 16 because you have to add 16 and the sum of 16 x 3. So, go down a few numbers
12 + (12x3) = 48 plus Kendra's 4 is 52
Hello,
<u>What is the explicit formula for this sequence? -7, -3, 1, 5, ... ?</u>
Aₙ₊₁ = Aₙ + 4 and A₀ = -7
⇒ Aₙ = A₀ + nr = -7 + 4n
Answer:
Claim :The proportion, p, of full-term babies born in their hospital that weigh more than 7 pounds is 36%.
n = 170
x = 56
We will use one sample proportion test
The proportion, p, of full-term babies born in their hospital that weigh more than 7 pounds is 36%.
Formula of test statistic =
=−0.8311
Now refer the p value from the z table
P-Value is .202987 (Calculated by online calculator)
Level of significance α = 0.05
Since p value < α
So we reject the null hypothesis .
Hence the claim is true