Answer:
The sum of 12 terms of AP = -318
Step-by-step explanation:
Points to remember
Sum of n terms of an AP
Sₙ = n/2[ 2a + (n - 1)d]
Where n - number of terms
a - first term
d - common difference
<u>To find the sum of 12 terms</u>
The given AP is 1, -4, -9, -14, . . .
a = 1, d= -5 and n = 12
Sₙ = n/2[ 2a + (n - 1)d]
= 12/2[2*1 + (12 - 1)*(-5)]
= 6[2 + (11*(-5))]
= 6[2 - 55]
= 6 * (-53)
= -318
The sum of 12 terms of AP = -318
Answer: 3200
Step-by-step explanation:
Answer:
f(x) = -5 if -5 <= x <= -3
f(x) = -2 if -3 < x <= 2
f(x) = 5 if 2 < x <= 6
Step-by-step explanation:
This is a simple piece wise function. Notice there are three lines or "solutions" for y-values over a range of x-values. Also notice there are filled in and not filled in circles. If the circle is not filled in, then it is not a solution. If it is, then it is a solution.
So for this, -5 is the solution if the range of x is from -5 through -3 inclusive since it has filled in circles.
-2 is a solution if the range of x is from -3 exclusive through 2 inclusive since at -3 it's open circle and 2 is filled.
5 is a solution if the range of x is from 2 exclusive through 6 inclusive since 2 it's open circle and 6 is filled.
To right that in notation simply
f(x) = -5 if -5 <= x <= -3
f(x) = -2 if -3 < x <= 2
f(x) = 5 if 2 < x <= 6
Cheers.
Answer: 
Step-by-step explanation:
Because an angle inscribed in a semicircle is a right angle, 
So, as angles in a triangle add to 180 degrees, 
