Answer:
![\Sigma_{k=1}^{n}[3(\frac{10}{9} )^{k-1}]](https://tex.z-dn.net/?f=%5CSigma_%7Bk%3D1%7D%5E%7Bn%7D%5B3%28%5Cfrac%7B10%7D%7B9%7D%20%29%5E%7Bk-1%7D%5D)
Step-by-step explanation:
A geometric sequence is a list of numbers having a common ratio. Each term after the first is gotten by multiplying the previous one by the common ratio.
The first term is denoted by a and the common ratio is denoted by r.
A geometric sequence has the form:
a, ar, ar², ar³, . . .
The nth term of a geometric sequence is 
Therefore the sum of the first n terms is:
Given a geometric series with a first term of 3 and a common ratio of 10/9, the sum of the first n terms is:
Answer:
The correct answer is 0.0330 and the events are independent.
Step-by-step explanation:
Total number of balls in Bill's golf bag = 17
Let A be the event of drawing a white ball and B be the event of drawing an orange ball.
Number of white balls Bill has in his bag is 9.
Probability of the event A in the first draw = 
Number of orange ball in Bill's bag is 1.
Probability of event B in the second draw = 
Thus total probability for Tim to tee off with a white ball and putt with an orange ball = 
= 0.0330
The above events are independent on each other.
95 times 2 is 190.
90 times 2 is 180, and 5 times 2 is 10.
180 + 10 = 190.
Answer:
x³ - 10x² + 31x - 30
Step-by-step explanation:
Given
(x - 2)(x - 3)(x - 5) ← expand the second pair of factors using FOIL
= (x - 2)(x² - 8x + 15) ← distribute
= x³ - 8x² + 15x - 2x² + 16x - 30 ← collect like terms
= x³ - 10x² + 31x - 30
Answer:
a) linear
Step-by-step explanation:
Linear keeps a steady pace throughout the function. in the graph, the function is decreasing by 0.5
