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