Answer:
is proved for the sum of pth, qth and rth terms of an arithmetic progression are a, b,and c respectively.
Step-by-step explanation:
Given that the sum of pth, qth and rth terms of an arithmetic progression are a, b and c respectively.
First term of given arithmetic progression is A
and common difference is D
ie.,
and common difference=D
The nth term can be written as

pth term of given arithmetic progression is a

qth term of given arithmetic progression is b
and
rth term of given arithmetic progression is c

We have to prove that

Now to prove LHS=RHS
Now take LHS




![=\frac{[Aq+pqD-Dq-Ar-prD+rD]\times qr+[Ar+rqD-Dr-Ap-pqD+pD]\times pr+[Ap+prD-Dp-Aq-qrD+qD]\times pq}{pqr}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%5BAq%2BpqD-Dq-Ar-prD%2BrD%5D%5Ctimes%20qr%2B%5BAr%2BrqD-Dr-Ap-pqD%2BpD%5D%5Ctimes%20pr%2B%5BAp%2BprD-Dp-Aq-qrD%2BqD%5D%5Ctimes%20pq%7D%7Bpqr%7D)




ie., 
Therefore
ie.,
Hence proved
Answer:
$8.82
Step-by-step explanation:
4.6 (1.15) + 0.5 (1.12) + 2.25 (1.32)
5.29 + 0.56 + 2.97
8.82
Answer:

Step-by-step explanation:
To preface, your figure is going to be a line segment, with
as your midpoint, in between points
& 
With that being said:

Identify your values:

Substitute the values into the first equation:

Combine like terms:

Subtract
from both sides of the equation:

Divide by the coefficient of
, which is
:

Substitute
for
in segments
&
:




Solve:


Check your answers by substituting:


In general when a firm produces nothing it still has to pay for the fixed costs while the variable costs are zero
What do I solve it seems solved to me or just a number sentence