সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=-13$$ এবং সাধারণ অনুপাত: $$r=1.5384615384615385$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=-13$$

$$a_2=a_1·r^{n-1}=-13\cdot {1.5384615384615385}^{2-1}=-13\cdot {1.5384615384615385}^1=-13\cdot 1.5384615384615385=-20$$

$$a_3=a_1·r^{n-1}=-13\cdot {1.5384615384615385}^{3-1}=-13\cdot {1.5384615384615385}^2=-13\cdot 2.366863905325444=-30.76923076923077$$

$$a_4=a_1·r^{n-1}=-13\cdot {1.5384615384615385}^{4-1}=-13\cdot {1.5384615384615385}^3=-13\cdot 3.641329085116068=-47.33727810650888$$

$$a_5=a_1·r^{n-1}=-13\cdot {1.5384615384615385}^{5-1}=-13\cdot {1.5384615384615385}^4=-13\cdot 5.602044746332413=-72.82658170232136$$

$$a_6=a_1·r^{n-1}=-13\cdot {1.5384615384615385}^{6-1}=-13\cdot {1.5384615384615385}^5=-13\cdot 8.618530378972943=-112.04089492664826$$

$$a_7=a_1·r^{n-1}=-13\cdot {1.5384615384615385}^{7-1}=-13\cdot {1.5384615384615385}^6=-13\cdot 13.259277506112221=-172.3706075794589$$

$$a_8=a_1·r^{n-1}=-13\cdot {1.5384615384615385}^{8-1}=-13\cdot {1.5384615384615385}^7=-13\cdot 20.39888847094188=-265.1855501222444$$

$$a_9=a_1·r^{n-1}=-13\cdot {1.5384615384615385}^{9-1}=-13\cdot {1.5384615384615385}^8=-13\cdot 31.382905339910586=-407.9777694188376$$

$$a_{10}=a_1·r^{n-1}=-13\cdot {1.5384615384615385}^{10-1}=-13\cdot {1.5384615384615385}^9=-13\cdot 48.281392830631674=-627.6581067982117$$