Problem 63
Question
Find the sum of the finite arithmetic sequence. Sum of the integers from -100 to 30
Step-by-Step Solution
Verified Answer
-4550
1Step 1: 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 \(30 - (-100) + 1 = 131\).
2Step 2: 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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