The first term of an arithmetic sequence is - 22. The common difference of the sequence is 5.

What is the sum of the first 30 terms of the sequence?

Answer: the sum of the first 30 terms of the sequence is 1515

Step-by-step explanation:

The formula for determining the sum of n terms of an arithmetic sequence is expressed as

Sn = n/2[2a + (n - 1) d]

Where

n represents the number of terms in the arithmetic sequence.

d represents the common difference of the terms in the arithmetic sequence.

a represents the first term of the arithmetic sequence.

From the information given,

n = 30

a = - 22

d = 5

Therefore, the sum of the first 30 terms, S30 would be

S30 = 30/2[2 * - 22 + (30 - 1) 5]

S30 = 15[ - 44 + 145)

S30 = 15 * 101 = 1515