Answer:
(a) -7 , - 9 , - 11
(b) Arithmetic sequence
(c) There is a common difference of -2
(d) -53
Step-by-step explanation:
(a) To find the next three terms , we must firs check if it is arithmetic sequence or a geometric sequence . For it to be an arithmetic sequence , there must be a common difference :
check :
-3 - (-1) = -5 - (-3) = -7 - (-5) = -2
This means that there is a common difference of -2 , which means it is an arithmetic sequence.
The next 3 terms we are to find are: 5th term , 6th term and 7th term.
= a + 4d
= - 1 + 4 ( -2 )
= -1 - 8
= - 9
6th term = a +5d
= -1 + 5(-2)
= -1 - 10
= - 11
= a + 6d
= -1 + 6 (-2)
= -1 - 12
= -13
Therefore : the next 3 terms are : -9 , -11 , - 13
(b) it is an arithmetic sequence because there is a common difference which is -2
(c) Because of the existence of common difference
(d) 
= a + 26d
= -1 + 26 ( -2 )
= -1 - 52
= - 53
Lets price of article = x
Tax is 8% of article = 0.08x
x+0.08x=7.02
1.08x=7.02
x=7.02/1.08
x=6.5
The retail price is $6.50.
Answer: The chance here to win is 50%.
Step-by-step explanation: You are taking a chance on a spinner with 20 outcomes. So, we will be considering natural numbers from 1 to 20.
And also, you will a prize if you land on an even number, so we will calculate the probability of getting an even number.
From 1 to 20, there are 10 odd numbers and 10 even numbers out of total 20 numbers.
Let us define the following events -
A = event of getting an even number
and
B = event of getting an odd number.
So, n(A) = 10 and n(B) = 10.
So, the probability of getting an even number is given by
Thus, the required chance of winning a prize is 50%.
40% of the number 50 is 20
