Math Problem Statement

3+2+4+6+8...+198

Solution

To find the sum of the sequence 3+2+4+6+8++1983 + 2 + 4 + 6 + 8 + \dots + 198, let us carefully determine its structure:

Step 1: Identify the sequence

The sequence starts at 3, but after that, alternates between an increment of 2 and 0. This means the sequence behaves as: [ 3, (3+2), (3+2+2), (3+2+2+2) ]

Thus mathematic .

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Math Problem Analysis

Mathematical Concepts

Arithmetic Sequence
Summation of Series

Formulas

Sum of an arithmetic series: S = n/2 * (a + l)

Theorems

Arithmetic Progression Theorem

Suitable Grade Level

Grades 9-12