1. [latex]a_{6}=a_{1}*q^{5}=-2*2^5=-2*32=-64[/latex] [latex]S_{5}= frac{a_{1}(1-q^{5})}{1-q}= frac{-2(1-32)}{-1}= frac{62}{-1}=-62[/latex] 2. [latex]a_{n}=a_{1}*q^{n-1}=8*( frac{1}{2})^{n-1}=8* (frac{1}{2})^{n}*( frac{1}{2})^{-1}=16*( frac{1}{2})^{n}\\a_{n}=16*( frac{1}{2})^{n} [/latex]
1 a1 = - 2 q = 2 [latex]a_6 = a_1*q^5\a_6 = -2*2^5 = -2^6 = -64\ S_5 = a_1frac{1-q^5}{1-q} = -2*frac{1-2^5}{1-2} = -2*frac{1-32}{-1} = 2*(-31) = -62[/latex] 2 a1=8,q=1/2 [latex]a_n=a_1*q^{n-1}\\a_n =8*(frac{1}{2})^{n-1} = 2^3*(frac{1}{2}) ^{n-1} = (frac{1}{2})^{-3}*(frac{1}{2})^{n-1} = (frac{1}{2})^{n-4} = 2^{4-n}\\a_n = 2^{4-n}[/latex]
