+0

what is a possible value for the missing term of the geometric sequence? 35,____,875,...

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2350
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what is a possible value for the missing term of the geometric sequence? 35,____,875,...

Jul 9, 2015

#1
+5

what is a possible value for the missing term of the geometric sequence? 35,____,875,...

$$\small{\text{ \boxed{~~ a_n=a_1\cdot r^{n-1}~~} }}\\\\ \small{\text{ \begin{array}{rclcl} a_1 &=& 35\\\\ a_2 &=& 35\cdot r\\\\ a_3 &=& 35\cdot r^2 &=& 875\\\\ && 35\cdot r^2 &=& 875\\\\ && r^2 &=& \dfrac{875}{35}\\\\ && r^2 &=& 25\\\\ && r^2 &=& 25 \qquad | \qquad \sqrt{}\\\\ && r &=& \pm5 \\\\ a_2 &=& 35\cdot (\pm 5)\\ &&&& a_2 = 175 \qquad \text{ or }\qquad a_2 = -175 \end{array} }}$$ Jul 9, 2015

#1
+5
$$\small{\text{ \boxed{~~ a_n=a_1\cdot r^{n-1}~~} }}\\\\ \small{\text{ \begin{array}{rclcl} a_1 &=& 35\\\\ a_2 &=& 35\cdot r\\\\ a_3 &=& 35\cdot r^2 &=& 875\\\\ && 35\cdot r^2 &=& 875\\\\ && r^2 &=& \dfrac{875}{35}\\\\ && r^2 &=& 25\\\\ && r^2 &=& 25 \qquad | \qquad \sqrt{}\\\\ && r &=& \pm5 \\\\ a_2 &=& 35\cdot (\pm 5)\\ &&&& a_2 = 175 \qquad \text{ or }\qquad a_2 = -175 \end{array} }}$$ 