Formula for the sum of an arithmetic progression​

I think it is S = n⁄2 (a + L)

Step-by-step explanation:

“S” is the sum of the arithmetic sequence, “a” as the first term, “d” the common difference between the terms, “n” is the total number of terms in the sequence and.

gdp is the best phrase!

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: