Mathematics, 27.07.2019 14:00 gedntrxAa
What is the 6th term of the geometric sequence where a1 = -4096 and a4 = 64?
Answers: 1
![\bf \begin{array}{llccll} term&value\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ a_1&-4096\\ a_2&-4096r\\ a_3&-4096rr\\ a_4&-4096rrr\\ &-4096r^3\\ &64 \end{array}\implies -4096r^3=64 \\\\\\ r^3=\cfrac{64}{-4096}\implies r^3=-\cfrac{1}{64}\implies r=\sqrt[3]{-\cfrac{1}{64}} \\\\\\ r=\cfrac{\sqrt[3]{-1}}{\sqrt[3]{64}}\implies \boxed{r=\cfrac{-1}{4}}\\\\ -------------------------------](/tpl/images/0139/0402/90e3b.png)
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What is the 6th term of the geometric sequence where a1 = -4096 and a4 = 64?...
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