Math Problem Statement

SPM 2015 Question 9: In an arithmetic progression, the sum of the first four terms is 14 and the sixth term is -7. Find the first term and the common difference of the progression.

Solution

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Math Problem Analysis

Mathematical Concepts

Arithmetic Progression
Sequences and Series

Formulas

Sum of terms in an arithmetic progression: S_n = n/2 * (2a + (n - 1)d)
General term of an arithmetic progression: T_n = a + (n - 1)d

Theorems

Arithmetic Progression Formula

Suitable Grade Level

Grades 10-12