Funatic Maths

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- Paper 1

Question 3

3.13.1 Prove that  ∑k=1∞4.32−k\: \sum\limits_{k=1}^{\infty} 4.3^{2-k} is a convergent geometric series. Show ALL your calculations. (3)(3)
3.23.2 If  ∑k=p∞4.32−k=29\: \sum\limits_{k=p}^{\infty} 4.3^{2-k}=\frac{\displaystyle 2}{\displaystyle 9}, determine the value of pp. (5)(5)
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