“Determine the nth term of the sequence 5 25 125 625 …:”
"Determine the nth term of the sequence 5 25 125 625 ...:"
Answer: "Tₙ = 5ⁿ"
"The sequence 5 25 125 625 follows a geometric pattern where each term is multiplied by 5. The nth term is expressed as Tₙ = 5ⁿ where n is the term position. For example T₁ = 5¹ = 5 and T₂ = 5² = 25. This formula is key in geometric sequences used in mathematics and finance. Understanding the nth term formula enhances problem-solving in pattern analysis and predictive modeling."
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