Cervantes Weber
03/28/2023 · Elementary School
UESTION 3 Prove that \( \sum_{k=1}^{\infty} 4.3^{2-k} \) is a convergent geometric series. Show ALL your calculations. If \( \sum_{k=\rho}^{\infty} 4.3^{2-k}=\frac{2}{9} \), determine the value of \( p \).
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The series \( \sum_{k=1}^{\infty} 4 \cdot 3^{2-k} \) is a convergent geometric series with a sum of 18. Given \( \sum_{k=\rho}^{\infty} 4 \cdot 3^{2-k} = \frac{2}{9} \), the value of \( p \) is 5.
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