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.
“Nerves that extend throughout the body on both sides emerging directly from brain and brain stem are called cranial nerves.”
Answer:
1.) 16/20
2.) 15/35
3.) 12/9
4.) 52/60
5.) 9 inches
6.) 24 centimeters
7.) 16 logs
8.) $15.40
9.) 10 miles
10.) 1.5 inches
I hope this is good enough:
Answer:
12.5 leters
Step-by-step explanation:
If you take the 4 liters she used to cover 50 doors,
Answer:
v = -3
Step-by-step explanation:
6v+3= -75v - 15 (16)
81v= -243
then put it over -3 then
-243 over 81
