Mathematics, 12.06.2020 23:57 izabellabyan
Find the geometric means in the following sequence. –14, ? , ? , ? , ? , –235,298
Answers: 3
![GM=\sqrt[n]{a_{1}\cdot a_{2}\cdot a_{3}\cdot...a_{n}}](/tpl/images/0684/6085/6ee45.png)
![a_{6}=a_{1}\cdot r^{6-1}\\\\-235298=-14\times r^{5}\\\\r=[\frac{235298}{14}]^{1/5}\\\\r=7](/tpl/images/0684/6085/0d810.png)
![=\sqrt[6]{-14\times -98\times -686\times -4802\times-33614\times -235298} \\\\=1814.9854\\\\\approx 1814.99](/tpl/images/0684/6085/fd40e.png)
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Find the geometric means in the following sequence. –14, ? , ? , ? , ? , –235,298...
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