সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=8,748$$ এবং সাধারণ অনুপাত: $$r=0.021604938271604937$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=8748$$

$$a_2=a_1·r^{n-1}=8748\cdot {0.021604938271604937}^{2-1}=8748\cdot {0.021604938271604937}^1=8748\cdot 0.021604938271604937=189$$

$$a_3=a_1·r^{n-1}=8748\cdot {0.021604938271604937}^{3-1}=8748\cdot {0.021604938271604937}^2=8748\cdot 0.0004667733577198597=4.083333333333333$$

$$a_4=a_1·r^{n-1}=8748\cdot {0.021604938271604937}^{4-1}=8748\cdot {0.021604938271604937}^3=8748\cdot 1.0084609580367339E-05=0.08822016460905348$$

$$a_5=a_1·r^{n-1}=8748\cdot {0.021604938271604937}^{5-1}=8748\cdot {0.021604938271604937}^4=8748\cdot 2.1787736747707214E-07=0.001905991210689427$$

$$a_6=a_1·r^{n-1}=8748\cdot {0.021604938271604937}^{6-1}=8748\cdot {0.021604938271604937}^5=8748\cdot 4.7072270751219285E-09=4.117882245316663E-05$$

$$a_7=a_1·r^{n-1}=8748\cdot {0.021604938271604937}^{7-1}=8748\cdot {0.021604938271604937}^6=8748\cdot 1.0169935038843672E-10=8.896659171980444E-07$$

$$a_8=a_1·r^{n-1}=8748\cdot {0.021604938271604937}^{8-1}=8748\cdot {0.021604938271604937}^7=8748\cdot 2.197208187404497E-12=1.922117722341454E-08$$

$$a_9=a_1·r^{n-1}=8748\cdot {0.021604938271604937}^{9-1}=8748\cdot {0.021604938271604937}^8=8748\cdot 4.747054725873913E-14=4.152723474194499E-10$$

$$a_{10}=a_1·r^{n-1}=8748\cdot {0.021604938271604937}^{10-1}=8748\cdot {0.021604938271604937}^9=8748\cdot 1.0255982432443639E-15=8.971933431901696E-12$$