a)
[tex]a_1=\frac{1}{2}\qquad q=2\qquad n=6\\\\a_n=a_1*q^{n-1}\\\\a_6=\frac{1}{2}*2^5\\\\a_6=\frac{1}{2}*32\\\\a_6=16[/tex]
b)
[tex]a_1=5\qquad q=\frac{1}{5}\qquad q=5\qquad n=6\\\\a_n=a_1*q^{n-1}\\\\a_5=5*\left(\frac{1}{5}\right)^4\\\\a_5=5*\frac{1}{625}\\\\a_5=\frac{5}{625}\\\\a_5=\frac{1}{125}[/tex]
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a)
[tex]a_1=\frac{1}{2}\qquad q=2\qquad n=6\\\\a_n=a_1*q^{n-1}\\\\a_6=\frac{1}{2}*2^5\\\\a_6=\frac{1}{2}*32\\\\a_6=16[/tex]
b)
[tex]a_1=5\qquad q=\frac{1}{5}\qquad q=5\qquad n=6\\\\a_n=a_1*q^{n-1}\\\\a_5=5*\left(\frac{1}{5}\right)^4\\\\a_5=5*\frac{1}{625}\\\\a_5=\frac{5}{625}\\\\a_5=\frac{1}{125}[/tex]