সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=275$$ এবং সাধারণ অনুপাত: $$r=0.05090909090909091$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=275$$

$$a_2=a_1·r^{n-1}=275\cdot {0.05090909090909091}^{2-1}=275\cdot {0.05090909090909091}^1=275\cdot 0.05090909090909091=14$$

$$a_3=a_1·r^{n-1}=275\cdot {0.05090909090909091}^{3-1}=275\cdot {0.05090909090909091}^2=275\cdot 0.0025917355371900827=0.7127272727272728$$

$$a_4=a_1·r^{n-1}=275\cdot {0.05090909090909091}^{4-1}=275\cdot {0.05090909090909091}^3=275\cdot 0.0001319429000751315=0.03628429752066116$$

$$a_5=a_1·r^{n-1}=275\cdot {0.05090909090909091}^{5-1}=275\cdot {0.05090909090909091}^4=275\cdot 6.717093094733967E-06=0.001847200601051841$$

$$a_6=a_1·r^{n-1}=275\cdot {0.05090909090909091}^{6-1}=275\cdot {0.05090909090909091}^5=275\cdot 3.4196110300463836E-07=9.403930332627555E-05$$

$$a_7=a_1·r^{n-1}=275\cdot {0.05090909090909091}^{7-1}=275\cdot {0.05090909090909091}^6=275\cdot 1.7408928880236133E-08=4.787455442064936E-06$$

$$a_8=a_1·r^{n-1}=275\cdot {0.05090909090909091}^{8-1}=275\cdot {0.05090909090909091}^7=275\cdot 8.862727429938396E-10=2.4372500432330587E-07$$

$$a_9=a_1·r^{n-1}=275\cdot {0.05090909090909091}^{9-1}=275\cdot {0.05090909090909091}^8=275\cdot 4.5119339643322746E-11=1.2407818401913754E-08$$

$$a_{10}=a_1·r^{n-1}=275\cdot {0.05090909090909091}^{10-1}=275\cdot {0.05090909090909091}^9=275\cdot 2.296984563660067E-12=6.316707550065184E-10$$