Find the partial sum Sn of the arithmetic sequence that satisfies the given conditions.a = −2, d = 22, n = 26S26 =

The formula for the sum Sn of the first n terms of an arithmetic sequence is given by:

Sn = n/2 * (a1 + an)

where: n = number of terms a1 = first term an = nth term

In this case, we have a1 = -2 (the first term), d = 22 (the common difference), and n = 26 (the number of terms).

First, we need to find an, the 26th term. The nth term of an arithmetic sequence can be found using the formula:

an = a1 + (n - 1) * d

Substituting the given values, we get:

an = -2 + (26 - 1) * 22 an = -2 + 25 * 22 an = -2 + 550 an = 548

Now, we can find the sum S26:

S26 = 26/2 * (-2 + 548) S26 = 13 * 546 S26 = 7098

So, the sum of the first 26 terms of the given arithmetic sequence is 7098.