সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=55$$ এবং সাধারণ অনুপাত: $$r=1.2363636363636363$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=55$$

$$a_2=a_1·r^{n-1}=55\cdot {1.2363636363636363}^{2-1}=55\cdot {1.2363636363636363}^1=55\cdot 1.2363636363636363=68$$

$$a_3=a_1·r^{n-1}=55\cdot {1.2363636363636363}^{3-1}=55\cdot {1.2363636363636363}^2=55\cdot 1.528595041322314=84.07272727272726$$

$$a_4=a_1·r^{n-1}=55\cdot {1.2363636363636363}^{4-1}=55\cdot {1.2363636363636363}^3=55\cdot 1.889899323816679=103.94446280991734$$

$$a_5=a_1·r^{n-1}=55\cdot {1.2363636363636363}^{5-1}=55\cdot {1.2363636363636363}^4=55\cdot 2.3366028003551667=128.51315401953417$$

$$a_6=a_1·r^{n-1}=55\cdot {1.2363636363636363}^{6-1}=55\cdot {1.2363636363636363}^5=55\cdot 2.8888907349845696=158.88899042415133$$

$$a_7=a_1·r^{n-1}=55\cdot {1.2363636363636363}^{7-1}=55\cdot {1.2363636363636363}^6=55\cdot 3.5717194541627406=196.44456997895074$$

$$a_8=a_1·r^{n-1}=55\cdot {1.2363636363636363}^{8-1}=55\cdot {1.2363636363636363}^7=55\cdot 4.4159440524193885=242.87692288306636$$

$$a_9=a_1·r^{n-1}=55\cdot {1.2363636363636363}^{9-1}=55\cdot {1.2363636363636363}^8=55\cdot 5.459712646627607=300.28419556451837$$

$$a_{10}=a_1·r^{n-1}=55\cdot {1.2363636363636363}^{10-1}=55\cdot {1.2363636363636363}^9=55\cdot 6.750190181285041=371.2604599706773$$