সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=59$$ এবং সাধারণ অনুপাত: $$r=0.7796610169491526$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=59$$

$$a_2=a_1·r^{n-1}=59\cdot {0.7796610169491526}^{2-1}=59\cdot {0.7796610169491526}^1=59\cdot 0.7796610169491526=46$$

$$a_3=a_1·r^{n-1}=59\cdot {0.7796610169491526}^{3-1}=59\cdot {0.7796610169491526}^2=59\cdot 0.6078713013501867=35.86440677966102$$

$$a_4=a_1·r^{n-1}=59\cdot {0.7796610169491526}^{4-1}=59\cdot {0.7796610169491526}^3=59\cdot 0.4739335569848914=27.962079862108595$$

$$a_5=a_1·r^{n-1}=59\cdot {0.7796610169491526}^{5-1}=59\cdot {0.7796610169491526}^4=59\cdot 0.3695075190051696=21.800943621305006$$

$$a_6=a_1·r^{n-1}=59\cdot {0.7796610169491526}^{6-1}=59\cdot {0.7796610169491526}^5=59\cdot 0.28809060803792885=16.9973458742378$$

$$a_7=a_1·r^{n-1}=59\cdot {0.7796610169491526}^{7-1}=59\cdot {0.7796610169491526}^6=59\cdot 0.22461301643635131=13.252167969744727$$

$$a_8=a_1·r^{n-1}=59\cdot {0.7796610169491526}^{8-1}=59\cdot {0.7796610169491526}^7=59\cdot 0.17512201281478237=10.33219875607216$$

$$a_9=a_1·r^{n-1}=59\cdot {0.7796610169491526}^{9-1}=59\cdot {0.7796610169491526}^8=59\cdot 0.13653580660135575=8.05561258947999$$

$$a_{10}=a_1·r^{n-1}=59\cdot {0.7796610169491526}^{10-1}=59\cdot {0.7796610169491526}^9=59\cdot 0.10645164582478585=6.280647103662365$$