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Required five terms of sequence are 19 , 12 , 5 , -2 and -9 .
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Solution:
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Need to find the five terms of the sequence.
Given recursive rule is f(x) = f(x-1) -7
Substituting x = 2 , f(2) = f(2-1)-7
= f(2) = f(1) – 7 ------(1)
Also given that f(2) = 12.
On substituting the given value of f(2) in eq (1) we get
12 = f(1) – 7
f(1) = 12 + 7 = 19
Using given recursive rule and given value of f(2) calculating f(3)
Substituting x = 3 ,
f(3) = f(3-1) – 7
= f(2) – 7
= 12 – 7
= 5
Using given recursive rule and calculated value of f(3) calculating f(4)
Substituting x = 4,
f(4) = f(4-1) – 7
= f(3) – 7
= 5– 7
= -2
Using given recursive rule and calculated value of f(4) calculating f(5)
Substituting x = 5,
f(5) = f(5-1) – 7
= f(4) – 7
= -2– 7
= -9
Hence required five terms of sequence are 19 , 12 , 5 , -2 and -9 .
Answer:
A. The function is always decreasing
Step-by-step explanation:
we read a graph from left to right, so we can always compare the increase/decrease of a function by seeing how an x value compares with an x value to the left
(I am aware that this paragraph is really confusing)
we can see that as x increases, from -∞ to 0,
y decreases in correspondence
and that as x increases, from 0 to ∞,
y decreases in correspondence also
So, even though the graph doesn't quite look like it, when x < 0; the function decreases, when x > 0; function decreases--so the function is always decreasing
hope this helps!! have a lovely day :)
Area of a rectangle = Length x Breadth
The required area = 500 x 300
= 150000 m^2
Answer:
h = 4.5 inches
Step-by-step explanation:
The area of a trapezoid is given by
A = 1/2 (b1+b2) h
We know A b1 and b2
20.25 = 1/2 (5+4)*h
20.25 = 9/2 h
Multiply each side by 2/9 to isolate h
2/9 * 20.25 = 2/9 *9/2 h
4.5 =h
