1+4 = 5
2+5 and add 5 = 12
3+6 and add 12 = 21
4+7+21=32
5+8+32=45
6+9+45=60
7+10+60=77
8+11+77=96
Q1
r = (2A/θ)^.5 = ((14/(1/8))^.5 = 10.583 ft <--------
q2
θ = 2A/r^2 = 2*3/7^2 = .122 rad <--------
McNeary gets payed annually about;
45.67 x 52 = 2374
24.63 x 52 = 1280
19.04 x 52 = 990
In total this adds up to 4644 dollars.
Answer:
0 ≤ an ≤ bn
The series ∑₁°° bn converges
The series ∑₁°° an converges by comparison to ∑₁°° bn.
0 ≤ an ≤ bn
The series ∑₁°° bn diverges
The comparison test is inconclusive for our choice of bn.
Step-by-step explanation:
an = 1 / (n² + n + 3) and bn = 1 / n²
The numerators are the same, and the denominator of an is greater than the denominator of bn. So 0 ≤ an ≤ bn.
bn is a p series with p > 1, so it converges.
Since the larger function converges, the smaller function also converges.
an = (3n − 1) / (6n² + 2n + 1) and bn = 1 / (2n)
If we rewrite bn as bn = (3n − 1) / (6n² − 2n), we can tell that when the numerators are equal, the denominator of an is greater than the denominator of bn. So 0 ≤ an ≤ bn.
bn is a p series with p = 1, so it diverges.
The larger function diverges. We cannot conclude whether the smaller function converges or diverges.
