Answer:
1 1/5
Step-by-step explanation:
12/10=1.2 or 1 1/5
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:
8 meters
Step-by-step explanation:
56 / 7 = 8
<span>35 is 35% of $100
....................</span>
Answer:
D. the object accelerates
Explanation:
Based on Newton's first law: "An object will maintain its state of rest or motion unless an external force acts on it"
An unbalanced forced means that there is a net force acting on the object. This will lead the object to either speed up, slow down, come to rest or change its direction.
This means that the net force caused by the unbalanced force will lead the object to accelerate.
Hope this helps :)
