Yes, the sequence of partial sums of an arithmetic series also be modeled by a linear function.

Example :

Consider the sequence If the common difference of the sequence is then the partial

sums of the corresponding series can be modeled by a linear function of the form .

Otherwise, the partial sums can be modeled by a quadratic function of the form

.

where is the common difference of the original sequence.

Yes, the sequence of partial sums of an arithmetic series also be modeled by a linear function.