The pattern they're looking for in the uppermost question is 0,2,6,14,30,62.
The second problem shows the Fibonacci sequence. Each number is the sum of the two numbers before it. So:
2,3,5,8,13,21,34
34 are the number of miles she'll run on Week 8.
The equation on the bottom right is M = 5p. The first two numbers in the function table are 25 and 50.
Answer:
The product of 3
(4 
) is 24
The answer is A.
Answer:
Let's say that x is sam's age and y is Amy's age
x=y-4
and five years ago:
x-5=(y-5)/2
y-4-5=(y-5)/2
2y-18=y-5
y=13
x=9
then:
sam's age is 9 and Amy's age is 13
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
