সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=88$$ এবং সাধারণ অনুপাত: $$r=1.2272727272727273$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=88$$

$$a_2=a_1·r^{n-1}=88\cdot {1.2272727272727273}^{2-1}=88\cdot {1.2272727272727273}^1=88\cdot 1.2272727272727273=108$$

$$a_3=a_1·r^{n-1}=88\cdot {1.2272727272727273}^{3-1}=88\cdot {1.2272727272727273}^2=88\cdot 1.506198347107438=132.54545454545456$$

$$a_4=a_1·r^{n-1}=88\cdot {1.2272727272727273}^{4-1}=88\cdot {1.2272727272727273}^3=88\cdot 1.8485161532682195=162.6694214876033$$

$$a_5=a_1·r^{n-1}=88\cdot {1.2272727272727273}^{5-1}=88\cdot {1.2272727272727273}^4=88\cdot 2.2686334608291783=199.6397445529677$$

$$a_6=a_1·r^{n-1}=88\cdot {1.2272727272727273}^{6-1}=88\cdot {1.2272727272727273}^5=88\cdot 2.784231974653992=245.01241376955127$$

$$a_7=a_1·r^{n-1}=88\cdot {1.2272727272727273}^{7-1}=88\cdot {1.2272727272727273}^6=88\cdot 3.4170119688935356=300.69705326263113$$

$$a_8=a_1·r^{n-1}=88\cdot {1.2272727272727273}^{8-1}=88\cdot {1.2272727272727273}^7=88\cdot 4.193605598187521=369.03729264050185$$

$$a_9=a_1·r^{n-1}=88\cdot {1.2272727272727273}^{9-1}=88\cdot {1.2272727272727273}^8=88\cdot 5.146697779593776=452.90940460425225$$

$$a_{10}=a_1·r^{n-1}=88\cdot {1.2272727272727273}^{10-1}=88\cdot {1.2272727272727273}^9=88\cdot 6.316401820410543=555.8433601961278$$