সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=4,186$$ এবং সাধারণ অনুপাত: $$r=0.002150023889154324$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=4186$$

$$a_2=a_1·r^{n-1}=4186\cdot {0.002150023889154324}^{2-1}=4186\cdot {0.002150023889154324}^1=4186\cdot 0.002150023889154324=9$$

$$a_3=a_1·r^{n-1}=4186\cdot {0.002150023889154324}^{3-1}=4186\cdot {0.002150023889154324}^2=4186\cdot 4.622602723934285E-06=0.01935021500238892$$

$$a_4=a_1·r^{n-1}=4186\cdot {0.002150023889154324}^{4-1}=4186\cdot {0.002150023889154324}^3=4186\cdot 9.938706286528563E-09=4.1603424515408565E-05$$

$$a_5=a_1·r^{n-1}=4186\cdot {0.002150023889154324}^{5-1}=4186\cdot {0.002150023889154324}^4=4186\cdot 2.136845594332467E-11=8.944835657875707E-08$$

$$a_6=a_1·r^{n-1}=4186\cdot {0.002150023889154324}^{6-1}=4186\cdot {0.002150023889154324}^5=4186\cdot 4.5942690752489734E-14=1.9231610348992204E-10$$

$$a_7=a_1·r^{n-1}=4186\cdot {0.002150023889154324}^{7-1}=4186\cdot {0.002150023889154324}^6=4186\cdot 9.877788264988238E-17=4.1348421677240763E-13$$

$$a_8=a_1·r^{n-1}=4186\cdot {0.002150023889154324}^{8-1}=4186\cdot {0.002150023889154324}^7=4186\cdot 2.1237480741732953E-19=8.890009438489414E-16$$

$$a_9=a_1·r^{n-1}=4186\cdot {0.002150023889154324}^{9-1}=4186\cdot {0.002150023889154324}^8=4186\cdot 4.566109094018074E-22=1.9113732667559657E-18$$

$$a_{10}=a_1·r^{n-1}=4186\cdot {0.002150023889154324}^{10-1}=4186\cdot {0.002150023889154324}^9=4186\cdot 9.817243632623666E-25=4.1094981846162664E-21$$