Answer:
a_1 = 0
a_2 = -1
a_3 = -6
a_4 = -31
a_5 = -156
Step-by-step explanation:
a_n=(5a_n-1)-1
a_1 = 0
to find a2 substitute a1
a_2 = (5* a_1)-1
a_2 = 5* 0 -1
a_2 = 0-1
a_2 = -1
to find a3 substitute a2
a_3 = (5* a_2)-1
a_3 = (5* -1 ) -1
a_3 = -5 -1
a_3 = -6
to find a4 substitute a3
a_4 = (5* a_3)-1
a_4 = (5* -6 ) -1
a_4 = -30 -1
a_4 = -31
to find a5 substitute a4
a_5 = (5* a_4)-1
a_5 = (5* -31 ) -1
a_5 = -155 -1
a_5 = -156
Answer:
a) y = 16/x²
b) x = 4/5
Step-by-step explanation:
You want the equation for y in terms of x when y is inversely proportional to the square of x, and y is 16 when x is 1. Further, you want the value of x when y is 25.
<h3>(a) Relation</h3>
The wording "inversely proportional to the square" means the form of the equation is ...
y = k/x² . . . . . . where k is the constant of proportionality
The value of k can be found from the given (x, y) pair.
k = x²y = (1)²(16) = 16
The equation is ...
y = 16/x²
<h3>(b) Value of x</h3>
Solving for x gives ...
x = √(16/y)
Then the value of x for y = 25 is ...
x = √(16/25)
x = 4/5
Answer:
320
Step-by-step explanation:
160,000/2,500=64(5)=320
or
5/2,500=x/1600,000=320
Answer:
X = 5 + (Gr)/3
Step-by-step explanation:
Step 1: Write equation
3X - Gr + 5 = 20
Step 2: Subtract 5 on both sides
3X - Gr = 15
Step 3: Add Gr to both sides
3X = 15 + Gr
Step 4: Divide both sides by 3
X = 5 + (Gr)/3
