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:32-24n
Step-by-step explanation:
Take 8 and 4 and multiply it and you get 32. Take 8 and 3 multiply or add 8 three times and you get 24 and also add the n so it’s 24n since the n goes no where, and you can’t really subtract a number with a letter with a number or a number with a different letter, you can only subtract or add it if it has the same letter on the number. Hope that helps.
The answer to the equation is 115
Step-by-step explanation:
Here,
CDE+27+103+50+35=360(BEING THE SUM OF PIE CHART
CDE+215=360
CDE=360-215
CDE=145
(i amnt sure about answer)
Answer:
never ever learned this but maybe The answer is:
b. y - 2 = 2/3(x-1)
c. y - 4 = 2/3(x-4)
e. f(x) = 2/3 + 4/3
Step-by-step explanation:
bce
