Answer:
a) -7/9
b) 16 / (n² + 15n + 56)
c) 1
Step-by-step explanation:
When n = 1, there is only one term in the series, so a₁ = s₁.
a₁ = (1 − 8) / (1 + 8)
a₁ = -7/9
The sum of the first n terms is equal to the sum of the first n−1 terms plus the nth term.
sₙ = sₙ₋₁ + aₙ
(n − 8) / (n + 8) = (n − 1 − 8) / (n − 1 + 8) + aₙ
(n − 8) / (n + 8) = (n − 9) / (n + 7) + aₙ
aₙ = (n − 8) / (n + 8) − (n − 9) / (n + 7)
If you wish, you can simplify by finding the common denominator.
aₙ = [(n − 8) (n + 7) − (n − 9) (n + 8)] / [(n + 8) (n + 7)]
aₙ = [n² − n − 56 − (n² − n − 72)] / (n² + 15n + 56)
aₙ = 16 / (n² + 15n + 56)
The infinite sum is:
∑₁°° aₙ = lim(n→∞) sₙ
∑₁°° aₙ = lim(n→∞) (n − 8) / (n + 8)
∑₁°° aₙ = 1
Answer:
22 dollars
Step-by-step explanation:
10% of $20= 2
20+2=$22
Answer:
The probability of cured people in who took the remedy is 8/9.
Step-by-step explanation:
Success rate of the cold remedy = 88%
The number of people who took the remedy = 45
Now, 88% of 45 = 
and 39.6 ≈ 40
So, out of 45 people, the remedy worked on total 40 people.
Now, let E: Event of people being cured by cold remedy
Favorable outcomes = 40
or, 
= 
Hence, the probability of cured people in who took the remedy is 8/9.
3,400,000,000
3,000,000,000+400,000,000
Answer:
31
Step-by-step explanation:
50 - 2-3-6-3-5 = 31
