What is the sum of the arithmetic series below? use the formula for the sum of an arithmetic series.

 The required sum is 504.

Step-by-step explanation:  We are given to find the sum of the following arithmetic series using the formula for the sum of an arithmetic series :

The given arithmetic series can be written, in expanded form, as follows :

We know that

the sum of first n terms of an arithmetic series with first term a and common difference d is given by

In the given series, a = 11 and d = 13 - 11 = 15 - 13 = . . . =2.

Therefore, the sum up to 18 terms will be

Thus, the required sum is 504.

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204

i dont understand

step-by-step explanation: