Question

determine o primeiro termo da pg em que a7=32 e q=2

Answer 1

$a_n=a_1 \cdot q^{n-1} \\ \\ a_7=a_1 \cdot q^{7-1} \\ \\ a_7=a_1 \cdot q^{6} \\ \\ 32=a_1 \cdot 2^{6} \\ \\ \dfrac{32}{2^6}=a_1 \\ \\ a_1= \dfrac{32}{2^6} \\ \\ a_1= \dfrac{32}{64} \\ \\ a_1= \dfrac{32/32}{64/32} \\ \\ \boxed{a_1= \dfrac{1}{2}}$


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