Pregunta
A sequence is defined by the recursive rule \( f(1)=-4 \) \( f(n)=f(n-1)+5 \) What is the seventh term of the sequence? 7 26 8
Ask by Rose Chavez. in the United States
Feb 24,2025
Solución de inteligencia artificial de Upstudy
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The seventh term of the sequence is 26.
Solución
We're given f(1) = -4 and the recursive rule f(n) = f(n-1) + 5. This means each term is 5 more than the previous term.
Let's calculate step by step:
• f(1) = -4
• f(2) = f(1) + 5 = -4 + 5 = 1
• f(3) = f(2) + 5 = 1 + 5 = 6
• f(4) = f(3) + 5 = 6 + 5 = 11
• f(5) = f(4) + 5 = 11 + 5 = 16
• f(6) = f(5) + 5 = 16 + 5 = 21
• f(7) = f(6) + 5 = 21 + 5 = 26
Thus, the seventh term of the sequence is 26.
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Simplifique esta solución Bonus Knowledge
To find the seventh term of the sequence, let's start with the given information. We know that \( f(1) = -4 \) and each subsequent term increases by 5. So, we can calculate the first few terms: - \( f(1) = -4 \) - \( f(2) = f(1) + 5 = -4 + 5 = 1 \) - \( f(3) = f(2) + 5 = 1 + 5 = 6 \) - \( f(4) = f(3) + 5 = 6 + 5 = 11 \) - \( f(5) = f(4) + 5 = 11 + 5 = 16 \) - \( f(6) = f(5) + 5 = 16 + 5 = 21 \) - \( f(7) = f(6) + 5 = 21 + 5 = 26 \) So, the seventh term of the sequence is 26.
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