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
↪Do you have options?
↪ Are we solving for the value of "x"? if so then follow the following steps! (they are short because it isnt more to this problem)
Step 1▶6(x)+2-2(x)+2=?
? = 0
Step 2▶ 4(x) = 0
You would have to divide on your sides of the equation by the number four
▶We have discovered that it has "One Solution" ◀
So, therefore, the value of 'x' is 0 ; x = 0✔
Answer:
Step-by-step explanation:
From the given right angle triangle,
The hypotenuse of the right angle triangle is x
With m∠54 as the reference angle,
The unknown is the adjacent side of the right angle triangle.
The opposite side of the right angle triangle is 19
To determine x, we would apply the Sine trigonometric ratio.
Sine θ = opposite side/hypotenuse. Therefore,
Sin 54 = 19/x
x = 19/Sin54 = 19/0.809
x = 23.5 to the nearest tenth.
Answer:
3z/10 or z/3.3333...
Step-by-step explanation:
z/(3 3/9) = z/(30/9) = z/(10/3)
z*3/10 = 3z/10 = z/3.3333...
