সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=59$$ এবং সাধারণ অনুপাত: $$r=0.9661016949152542$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=59$$

$$a_2=a_1·r^{n-1}=59\cdot {0.9661016949152542}^{2-1}=59\cdot {0.9661016949152542}^1=59\cdot 0.9661016949152542=57$$

$$a_3=a_1·r^{n-1}=59\cdot {0.9661016949152542}^{3-1}=59\cdot {0.9661016949152542}^2=59\cdot 0.933352484918127=55.06779661016949$$

$$a_4=a_1·r^{n-1}=59\cdot {0.9661016949152542}^{4-1}=59\cdot {0.9661016949152542}^3=59\cdot 0.9017134176327667=53.20109164033323$$

$$a_5=a_1·r^{n-1}=59\cdot {0.9661016949152542}^{5-1}=59\cdot {0.9661016949152542}^4=59\cdot 0.8711468611028423=51.3976648050677$$

$$a_6=a_1·r^{n-1}=59\cdot {0.9661016949152542}^{6-1}=59\cdot {0.9661016949152542}^5=59\cdot 0.8416164590315596=49.65537108286202$$

$$a_7=a_1·r^{n-1}=59\cdot {0.9661016949152542}^{7-1}=59\cdot {0.9661016949152542}^6=59\cdot 0.8130870875389643=47.97213816479889$$

$$a_8=a_1·r^{n-1}=59\cdot {0.9661016949152542}^{8-1}=59\cdot {0.9661016949152542}^7=59\cdot 0.785524813385101=46.345963989720964$$

$$a_9=a_1·r^{n-1}=59\cdot {0.9661016949152542}^{9-1}=59\cdot {0.9661016949152542}^8=59\cdot 0.7588968536093349=44.77491436295076$$

$$a_{10}=a_1·r^{n-1}=59\cdot {0.9661016949152542}^{10-1}=59\cdot {0.9661016949152542}^9=59\cdot 0.7331715365378321=43.257120655732095$$