Answer:
10th term of the sequence 64,16,4... = 1/4096
Step-by-step explanation:
Points to remember
nth term of GP is given by.
Tₙ = ar⁽ⁿ⁻¹⁾
Where r is the common ratio and a is the first term
<u>To find the 10th term of given GP</u>
It is given that,
64, 16, 4,......
a = 64 and 6 = 1/4 Here
T₁₀ = ar⁽ⁿ⁻¹⁾
= 64 * (1/4)⁽¹⁰⁻¹⁾ = 64 * (1/4⁹)
= 4³/4⁹ = 1/4⁶ = 1/4096
So the equation of a line is y=mx + b.
In order to find the slope given only two coordinates we have to use a formula to find slope. It is:
y2-y1/x2-x1.
So let’s get all the values first from (3,4) and (2,-1).
y2= -1
y1=4
x2=2
x1=3
Plug in the values now.
-1 - 4 = -5
-5/2-3=5
The slope is 5x.
Now let’s find the y intercept, to find the y intercept, we have to do a formula which is:
y-y1=m(x-x1)
So let’s plug in the values.
y-4=5(x-3)
y-4=5x-15
+4 +4
y=5x-11
The final answer is y=5x-11!!!
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Answer:
{ x | -3 <= x < +1 }
Step-by-step explanation:
We note that the graph occupies from x=-3 to x=+1, while -3 is a value included (endpoint is solid), and +1 is excluded (endpoint hollow).
Thus the domain is { x | -3 <= x < +1 }
