Answer:
∑ (-1)ⁿ⁺³ 1 / (n^½)
∑ (-1)³ⁿ 1 / (8 + n)
Step-by-step explanation:
If ∑ an is convergent and ∑│an│is divergent, then the series is conditionally convergent.
Option A: (-1)²ⁿ is always +1. So an =│an│and both series converge (absolutely convergent).
Option B: bn = 1 / (n^⁹/₈) is a p series with p > 1, so both an and │an│converge (absolutely convergent).
Option C: an = 1 / n³ isn't an alternating series. So an =│an│and both series converge (p series with p > 1). This is absolutely convergent.
Option D: bn = 1 / (n^½) is a p series with p = ½, so this is a diverging series. Since lim(n→∞) bn = 0, and bn is decreasing, then an converges. So this is conditionally convergent.
Option E: (-1)³ⁿ = (-1)²ⁿ (-1)ⁿ = (-1)ⁿ, so this is an alternating series. bn = 1 / (8 + n), which diverges. Since lim(n→∞) bn = 0, and bn is decreasing, then an converges. So this is conditionally convergent.
Answer:
14 correct and 11 wrong
Step-by-step explanation:
If you got a 56% , we need to change this to decimal form 56% = .56
This is the percent you got right
.56* 25 = 14
You got 14 questions right
To determine the number of questions you got wrong, take the total number of questions minus the number you got right.
25-14 =11
You got 11 wrong
Answer:
8 men.
Step-by-step explanation:
12÷3=4.
4 women, 8 men.
8-4=4.
Answer:
0.194
Step-by-step explanation:
Probability that BOTH are democrats means probability of <u>"one being democrat"</u> AND <u>"another also being democrat"</u>.
The AND means we need to MULTIPLY the individual probability of a person being democrat.
Probability that a voter is democrat is 44% (0.44) -- stated in the problem
Now, Probability BOTH being Democrats is simply MULTIPLYING 0.44 with 0.44
Rounded to nearest thousandth, 0.194
Last answer choice is correct.
Answer: -0.25n-0.15
Step-by-step explanation:
simplify
0.5n+0.3-0.75n-0.45
Combine like terms
-0.25n-0.15
