Answer:the sum of the first 30 terms is 3750
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 = 200 terms
a = 9
d = 8
Therefore, the sum of the first 30 terms, 30 would be
S30 = 30/2[2 × 9 + (30 - 1)8]
S30 = 15[18 + 29 × 8]
S30 = 15[18 + 232]
S30 = 15[18 + 232]
S30 = 3750