a + 4d = 89 \\

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• In a math competition, the scores of five participants are in arithmetic progression. The lowest score is 65, and the highest score is 89. What is the average score?
• Let the scores be \( a, a+d, a+2d, a+3d, a+4d \), where \( a = 65 \) and \( a+4d = 89 \).
• Solve for \( d \):
• + 4d = 89 \\
• 4d = 24 \\
• d = 6

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