সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=78$$ এবং সাধারণ অনুপাত: $$r=7.717948717948718$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=78$$

$$a_2=a_1·r^{n-1}=78\cdot {7.717948717948718}^{2-1}=78\cdot {7.717948717948718}^1=78\cdot 7.717948717948718=602$$

$$a_3=a_1·r^{n-1}=78\cdot {7.717948717948718}^{3-1}=78\cdot {7.717948717948718}^2=78\cdot 59.56673241288626=4646.205128205128$$

$$a_4=a_1·r^{n-1}=78\cdot {7.717948717948718}^{4-1}=78\cdot {7.717948717948718}^3=78\cdot 459.73298605842984=35859.17291255753$$

$$a_5=a_1·r^{n-1}=78\cdot {7.717948717948718}^{5-1}=78\cdot {7.717948717948718}^4=78\cdot 3548.1956103483944=276759.25760717475$$

$$a_6=a_1·r^{n-1}=78\cdot {7.717948717948718}^{6-1}=78\cdot {7.717948717948718}^5=78\cdot 27384.791761919663=2136013.757429734$$

$$a_7=a_1·r^{n-1}=78\cdot {7.717948717948718}^{7-1}=78\cdot {7.717948717948718}^6=78\cdot 211354.41847020047=16485644.640675636$$

$$a_8=a_1·r^{n-1}=78\cdot {7.717948717948718}^{8-1}=78\cdot {7.717948717948718}^7=78\cdot 1631222.5630648807=127235359.91906069$$

$$a_9=a_1·r^{n-1}=78\cdot {7.717948717948718}^{9-1}=78\cdot {7.717948717948718}^8=78\cdot 12589692.089295616=981995982.9650581$$

$$a_{10}=a_1·r^{n-1}=78\cdot {7.717948717948718}^{10-1}=78\cdot {7.717948717948718}^9=78\cdot 97166597.91994822=7578994637.755961$$