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: 6 hours
Step-by-step explanation:
$7.50per hour
$43.50 in tips
$88.50 total
88.50-43.50=45
45 divided by 7.50 equals 6
So your answer is 6 hours
Hope this helped:))
Oh whats that thiers something called a calculator
Answer:
Darius is correct if only the median score is considered.
Step-by-step explanation:
Darius scores are; 96, 54,120, 87, 123
arrange the scores in increasing order;
54,87,96,120,123
mean = (54+87+96+120+123)/5 =480/5 =96
median =96
Barb's scores are 92,94,96,98,110
mean=(92,94,96,98,110)/5 =490/5=98
median score=96
⇒if the median score only is considered; then it is a tie because the score is 96 in both players.
Answer:
642
Step-by-step explanation:
bc it is trust me
