Answer:
1. 60000.12
2. 54000.15
3. 9600.48
4. 3840.48
Step-by-step explanation:
I really hope this helps and may I receive brainliest please
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:
R = -8 1/6
Step-by-step explanation:
We'll solve the given equation for R.
Subtract 3 1/2 from both sides of the equation, to isolate R:
R + 3 1/2 - 3 1/2 = -4 2/3 - 3 1/2, or
R = -4 2/3 - 3 1/2
The LCD here is 6, which is the product of 3 and 2. Converting the fractions to denominator 6, we get:
R = -4 4/6 - 3 3/6, or
R = -7 - 7/6, or R = -7 - 1 1/6, or -8 1/6
Answer:
27 centimeters is equal to 2.7 decimeters
Step-by-step explanation:
