Question

O sexto termo da P.G (1024,512....)??

Answer 1

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$a_n=a_6=? \\ a_1=1024 \\ n=6 \\ r=q= \frac{512}{1024} = \frac{1}{2} \\ \\ a_n=a_1.q^{n-1} \\ \\ a_6=1024.( \frac{1}{2} )^{6-1} \\ \\ a_6=2^{10}.(2^{-1})^5 \\ \\ a_6=2^{10}.2^{-5} \\ \\ a_6=2^{10-5} \\ \\ a_6=2^5 \\ \\ a_6=32$