The recursive sequence that would produce the sequence 8,-35,137,… is T(n + 1) = -3 - 4T(n) where T(1) = 8
<h3>How to determine the recursive sequence that would produce the sequence?</h3>
The sequence is given as:
8,-35,137,…
From the above sequence, we can see that:
The next term is the product of the current term and -4 added to -3
i.e.
Next term = -3 + Current term * -4
So, we have:
T(n + 1) = -3 + T(n) * -4
Rewrite as:
T(n + 1) = -3 - 4T(n)
Hence, the recursive sequence that would produce the sequence 8,-35,137,… is T(n + 1) = -3 - 4T(n) where T(1) = 8
Read more about recursive sequence at
brainly.com/question/1275192
#SPJ1
Answer:
D would be the wisest choice.
Step-by-step explanation:
Consider the taxes and extra expenses the purchase may have. They may raise the actual payment, plus if you don't pay the balance immediately it'll keep growing and growing until you're in deeper debt.
Hope this helped, have a nice day!
Our parabola open downward and therefore a is negative.
Explanation:
As value of a changes from positive to negative or from negative to positive, the direction of opening changes. For negative values of a we got negative parabolas that open downward. As the original formula y = x^2 we see that x^2 will always be positive because when you square a number it always gives positive value. Therefore the direction for which it will open, depends on value of a.
No x-intercept/zero
Step by step
To find x-intercept/zero, substitute f(x)=0
F(x)=-20
0=-20
The statement is false for any value of
X=0
Since there is no solution for f(x)=0, there is no -intercept/Zero
Your welcome:)
Answer:
x = 7
Length = 4 inches , Width = 15 inches
Step-by-step explanation:
<em>PART</em><em> </em><em>1</em><em> </em><em>:</em>
Area of rectangle = Length × Width
A = L × W
L = x - 3
W = x + 8
Therefore:
A = L × W
60 = ( x - 3 ) ( x + 8 )
( x - 3 ) ( x + 8 ) - 60 = 0
x^2 + 8x - 3x - 24 - 60 = 0
x^2 + 5x - 84 = 0
x^2 + 12x - 7x - 84 = 0
x ( x + 12 ) - 7 ( x + 12 ) = 0
( x + 12 ) ( x - 7 ) = 0
THEREFORE:
x = - 12 , x = 7
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
<em>PART</em><em> </em><em>2</em><em> </em><em>:</em>
L = x - 3
L = ( - 12 ) - 3
L = - 15
OR
L = ( 7 ) - 3
L = 4
THEREFORE:
Length can not be a negative number. Hence, L can not equal to - 15.
L = 4 inches
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
W = x + 8
W = ( 7 ) + 8
THEREFORE:
W = 15 inches
