সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=7,854$$ এবং সাধারণ অনুপাত: $$r=1.2633053221288515$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=7854$$

$$a_2=a_1·r^{n-1}=7854\cdot {1.2633053221288515}^{2-1}=7854\cdot {1.2633053221288515}^1=7854\cdot 1.2633053221288515=9922$$

$$a_3=a_1·r^{n-1}=7854\cdot {1.2633053221288515}^{3-1}=7854\cdot {1.2633053221288515}^2=7854\cdot 1.5959403369190812=12534.515406162463$$

$$a_4=a_1·r^{n-1}=7854\cdot {1.2633053221288515}^{4-1}=7854\cdot {1.2633053221288515}^3=7854\cdot 2.016159921429988=15834.920022911125$$

$$a_5=a_1·r^{n-1}=7854\cdot {1.2633053221288515}^{5-1}=7854\cdot {1.2633053221288515}^4=7854\cdot 2.5470255590053905=20004.33874042834$$

$$a_6=a_1·r^{n-1}=7854\cdot {1.2633053221288515}^{6-1}=7854\cdot {1.2633053221288515}^5=7854\cdot 3.217670944289723=25271.587596451485$$

$$a_7=a_1·r^{n-1}=7854\cdot {1.2633053221288515}^{7-1}=7854\cdot {1.2633053221288515}^6=7854\cdot 4.064900828780575=31925.73110924263$$

$$a_8=a_1·r^{n-1}=7854\cdot {1.2633053221288515}^{8-1}=7854\cdot {1.2633053221288515}^7=7854\cdot 5.135210850924478=40331.946023160854$$

$$a_9=a_1·r^{n-1}=7854\cdot {1.2633053221288515}^{9-1}=7854\cdot {1.2633053221288515}^8=7854\cdot 6.487339198226723=50951.562062872676$$

$$a_{10}=a_1·r^{n-1}=7854\cdot {1.2633053221288515}^{10-1}=7854\cdot {1.2633053221288515}^9=7854\cdot 8.195490135574934=64367.37952480553$$