Answer:
<h2>5(x + 7)²</h2>
Step-by-step explanation:
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:
Rita must work 50 days to save at least $25.
Step-by-step explanation:
The amount Rita earns per hour = $10
The saving percentage = 5%
So, the savings of Rita per hour = 5% of $10
⇒5% of $10 = 
or Rita saves $0.5 per hour.
The amount she wants to save at minimum = $25
So, let she works at the minimum of k Days.
⇒
or, 
The number of hours she has to work = 50 days
Hence, Rita must work 50 days to save at least $25.
D=45h
For example: 45mph times 2 hours equals 90 miles traveled
