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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?

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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

User Paul Ishak
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