Get the answers you need at Westonci.ca, where our expert community is always ready to help with accurate information. Join our platform to get reliable answers to your questions from a knowledgeable community of experts. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.
Sagot :
[tex]a_1=3;\ a_2=18;\ a_3=108;\ a_4=648\\\\if\ a_n\ is\ a\ geometric\ sequance\ then\ \frac{a_2}{a_1}=\frac{a_3}{a_2}=\frac{a_4}{a_3}\\\\check:\\\\\frac{a_2}{a_1}=\frac{18}{3}=6\\\\\frac{a_3}{a_2}=\frac{108}{18}=6\\\\\frac{a_4}{a_3}=\frac{648}{108}=6\\\\correct!\\\\It's\ a\ geometric\ sequence[/tex]
[tex]The\ formula\ of\ geometric\ sequence:a_n=a_1r^{n-1}\\\\a_1=3;\ r=\frac{a_2}{a_1}=6\\\\therefore\\\\a_1=3\cdot6^{n-1}=3\cdot6^n\cdot6^{-1}=3\cdot6^n\cdot\frac{1}{6}=3\cdot\frac{1}{6}\cdot6^n=\boxed{\frac{1}{2}\cdot6^n}[/tex]
[tex]The\ formula\ of\ geometric\ sequence:a_n=a_1r^{n-1}\\\\a_1=3;\ r=\frac{a_2}{a_1}=6\\\\therefore\\\\a_1=3\cdot6^{n-1}=3\cdot6^n\cdot6^{-1}=3\cdot6^n\cdot\frac{1}{6}=3\cdot\frac{1}{6}\cdot6^n=\boxed{\frac{1}{2}\cdot6^n}[/tex]
Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.
