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Chapter 9: Problem 63

Find the sum of the finite arithmetic sequence. Sum of the integers from -100 to 30

Short Answer

Expert verified
-4550

Step by step solution

01

Calculate the Total Number of Terms

To get the total number of terms in this sequence, subtract the first term from the last term and add \(1\). So, the total number of terms, \(n\), are \(30 - (-100) + 1 = 131\).
02

Utilize the Sum Formula

We now use the formula of the sum of an arithmetic series which is \(S = n/2 * (a + l)\). Substituting the known values, we get \(S = 131/2 * (-100 + 30) = -4550\).

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