সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=39,143$$ এবং সাধারণ অনুপাত: $$r=0.003985386914646297$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=39143$$

$$a_2=a_1·r^{n-1}=39143\cdot {0.003985386914646297}^{2-1}=39143\cdot {0.003985386914646297}^1=39143\cdot 0.003985386914646297=156$$

$$a_3=a_1·r^{n-1}=39143\cdot {0.003985386914646297}^{3-1}=39143\cdot {0.003985386914646297}^2=39143\cdot 1.588330885943393E-05=0.6217203586848223$$

$$a_4=a_1·r^{n-1}=39143\cdot {0.003985386914646297}^{4-1}=39143\cdot {0.003985386914646297}^3=39143\cdot 6.330113128967357E-08=0.002477796182071693$$

$$a_5=a_1·r^{n-1}=39143\cdot {0.003985386914646297}^{5-1}=39143\cdot {0.003985386914646297}^4=39143\cdot 2.522795003241723E-10=9.874976481189077E-06$$

$$a_6=a_1·r^{n-1}=39143\cdot {0.003985386914646297}^{6-1}=39143\cdot {0.003985386914646297}^5=39143\cdot 1.0054314194254625E-12=3.935560205057088E-08$$

$$a_7=a_1·r^{n-1}=39143\cdot {0.003985386914646297}^{7-1}=39143\cdot {0.003985386914646297}^6=39143\cdot 4.0070332225524906E-15=1.5684730143037214E-10$$

$$a_8=a_1·r^{n-1}=39143\cdot {0.003985386914646297}^{8-1}=39143\cdot {0.003985386914646297}^7=39143\cdot 1.5969577771713678E-17=6.250971827181885E-13$$

$$a_9=a_1·r^{n-1}=39143\cdot {0.003985386914646297}^{9-1}=39143\cdot {0.003985386914646297}^8=39143\cdot 6.364494628381405E-20=2.4912541323873334E-15$$

$$a_{10}=a_1·r^{n-1}=39143\cdot {0.003985386914646297}^{10-1}=39143\cdot {0.003985386914646297}^9=39143\cdot 2.53649736102879E-22=9.928611620274993E-18$$