Math Problem Statement

Find the first term (a) of an arithmetic progression given that the sum of the first 7 terms (S₇) is 635, the common difference (d) is 2, and the number of terms (n) is 7.

Solution

The

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Math Problem Analysis

Mathematical Concepts

Arithmetic Progression
Summation

Formulas

Sum of n terms of an arithmetic progression: Sₙ = n/2 * (2a + (n-1)d)

Theorems

Arithmetic series summation theorem

Suitable Grade Level

Grade 8-10