The sum of the first n terms in an arithmetic sequence is (n/2)⋅(a₁+aₙ). It is called the arithmetic series formula.

Adding two functions is like plotting one function and taking the graph of that function as the new x-axis. Points of the second function are then plotted with respect to the new axis. For example, (2, 3) becomes “over 2,” “up 3 from the new axis,” or (3, f + 2).

To add or subtract functions, just add or subtract the values at each point where it makes sense. If the functions are given by formulas, you can just add or subtract the formulas (it doesn’t matter whether you plug in values before or after).

A graph so obtained is called an integral sum graph. The sum number of a given graph G was defined as the smallest number of isolated nodes which when added to G result in a sum graph. The integral sum number of G is analogous. We see that all paths and all matchings are integral sum graphs.

The sum of two graphs G and H, denoted by G + fl, is the graph obtained by taking disjoint copies of G and H and then adding every edge .> y, 1 here x is a vertex in C and y is a vertex in H. The sum G + fl of two graphs may be singular or non-singular, independently of the singularity or non-singularity of C and H.

Sum of an arithmetic series The sum to n terms of an arithmetic series is Sn=n2(7n+15).

An arithmetic series is the sum of the terms of an arithmetic sequence. The partial sum is the sum of a limited (that is to say, a finite) number of terms, like the first ten terms, or the fifth through the hundredth terms.

Sum of an Arithmetic Series For a finite arithmetic sequence given by an=a1+(n−1)d, where a1 is the first term, d is the common difference, and n is the number of terms, the sum of all terms, Sn, can be calculated using the following formula.