Math Problem Statement
Consider a finite arithmetic sequence of positive integers. Among its terms are the numbers 28, 52 and 82. The sum of all terms in the sequence is 1769. Find the smallest and largest terms in the sequence.
Solution
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Math Problem Analysis
Mathematical Concepts
Arithmetic Sequences
Algebra
Formulas
a_n = a_1 + (n-1) * d
Sum of an arithmetic sequence: S_n = n/2 * (a_1 + a_n)
Theorems
Arithmetic Progression
Suitable Grade Level
Grades 9-12
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