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
9514 1404 393
Answer:
19 players
Step-by-step explanation:
The total being spent is ...
bus cost + (per player cost) × (number of players) = total raised
250 + 25.85p = 741.15
25.85p = 491.15
p = 491.15/25.85 = 19
The team could bring 19 players to the tournament.
? = 30 because your number is increasing by -8 how to figure it out is by taking 14 - 6 = 8
Divide 4 by 1/10.
So, 4 ÷ 1/10 becomes 4 x 10/1.
We know that 4 x 10/1 = 40/1 = 40.
Did you follow?
Answer:
2
Step-by-step explanation:
0! + 1!
= !1 / 1 + 1!
= 1 + 1
= 2
