Determine o decimo termo da PG(-1/9, -1/3).... Pergunta de ideia dedeboraddmiranda

deboraddmiranda @deboraddmiranda

March 2022 1 105 Report

Determine o decimo termo da PG
(-1/9, -1/3)

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MATHSPHIS

Verified answer

$(-\frac{1}{9},\frac{-1}{3},\dots)$

$q=\dfrac{-\frac{1}{3}}{-\frac{1}{9}}=3$

$a_n=a_1\cdot q^{n-1}$

$a_{10}=a_1\cdot q^{10-1}$

$a_1=-\frac{1}{9}$ , $q=3$

$a_{10}=\left(-\frac{1}{9}\right)\cdot 3^{9}$

$-\frac{1}{9}=-3^{-2}$

$a_{10}=-3^{-2}\cdot3^{9}$

$a_{10}=-3^{-2+9}$

$a_{10}=-3^{7}$

$a_{10}=-2~187$

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