সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=22$$ এবং সাধারণ অনুপাত: $$r=1.6363636363636365$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=22$$

$$a_2=a_1·r^{n-1}=22\cdot {1.6363636363636365}^{2-1}=22\cdot {1.6363636363636365}^1=22\cdot 1.6363636363636365=36$$

$$a_3=a_1·r^{n-1}=22\cdot {1.6363636363636365}^{3-1}=22\cdot {1.6363636363636365}^2=22\cdot 2.6776859504132235=58.90909090909092$$

$$a_4=a_1·r^{n-1}=22\cdot {1.6363636363636365}^{4-1}=22\cdot {1.6363636363636365}^3=22\cdot 4.381667918858002=96.39669421487605$$

$$a_5=a_1·r^{n-1}=22\cdot {1.6363636363636365}^{5-1}=22\cdot {1.6363636363636365}^4=22\cdot 7.1700020490403675=157.74004507888807$$

$$a_6=a_1·r^{n-1}=22\cdot {1.6363636363636365}^{6-1}=22\cdot {1.6363636363636365}^5=22\cdot 11.732730625702422=258.1200737654533$$

$$a_7=a_1·r^{n-1}=22\cdot {1.6363636363636365}^{7-1}=22\cdot {1.6363636363636365}^6=22\cdot 19.199013751149415=422.37830252528715$$

$$a_8=a_1·r^{n-1}=22\cdot {1.6363636363636365}^{8-1}=22\cdot {1.6363636363636365}^7=22\cdot 31.41656795642632=691.164495041379$$

$$a_9=a_1·r^{n-1}=22\cdot {1.6363636363636365}^{9-1}=22\cdot {1.6363636363636365}^8=22\cdot 51.40892938324308=1130.9964464313477$$

$$a_{10}=a_1·r^{n-1}=22\cdot {1.6363636363636365}^{10-1}=22\cdot {1.6363636363636365}^9=22\cdot 84.12370262712504=1850.7214577967509$$