what is the value of the fourth term in a geometric sequence for which a1= 15 and r= 1/3

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22-05-2018
Mathematics

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what is the value of the fourth term in a geometric sequence for which a1= 15 and r= 1/3

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jdoe0001 jdoe0001 · Answer 1 · 2018-05-22T00:33:57+02:00

[tex]\bf \begin{array}{cll} term&value\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ a_1&15\\ a_2&15\left( \frac{1}{3} \right)\\\\ a_3&15\left( \frac{1}{3} \right)\left( \frac{1}{3} \right)\\\\ a_4&15\left( \frac{1}{3} \right)\left( \frac{1}{3} \right)\left( \frac{1}{3} \right) \end{array}\qquad \implies 15\left( \frac{1}{3} \right)^3\implies 15\cdot \cfrac{1^3}{3^3} \\\\\\ \cfrac{15}{27}\implies \stackrel{simplified}{\cfrac{5}{9}}[/tex]