Question

13 и 14 помогите пж. срочно. дам 30 баллов

Answer 1

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Answer 2

$13); ; frac{15^{n+1}cdot 3^{n-1}}{15^{n}}=15cdot 3^{n-1}=frac{15cdot 3^{n}}{3}=5cdot 3^{n}\\frac{14^{n}}{2^{n-2}cdot 7^{n+2}}=frac{2^{n}cdot 7^{n}}{2^{n}cdot 2^{-2}cdot 7^{n}cdot 7^{2}}=frac{2^2}{7^2}=frac{4}{49}\\14); ; frac{10^{n+2}-10^{n-2}}{10^{n}}=frac{10^{n}cdot (10^{2}+10^{-2})}{10^{n}}=100-frac{1}{100}=100-0,01=99,99\\frac{3^{n+1}-3^{n-1}}{3^{n-2}}=frac{3^{n}cdot (3-3^{-1})}{3^{n}cdot 3^{-2}}=3^2cdot (3-frac{1}{3})=9cdot frac{9-1}{3}=frac{9cdot 8}3}=frac{72}{3}24$