সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=91$$ এবং সাধারণ অনুপাত: $$r=1.1538461538461537$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=91$$

$$a_2=a_1·r^{n-1}=91\cdot {1.1538461538461537}^{2-1}=91\cdot {1.1538461538461537}^1=91\cdot 1.1538461538461537=104.99999999999999$$

$$a_3=a_1·r^{n-1}=91\cdot {1.1538461538461537}^{3-1}=91\cdot {1.1538461538461537}^2=91\cdot 1.3313609467455618=121.15384615384613$$

$$a_4=a_1·r^{n-1}=91\cdot {1.1538461538461537}^{4-1}=91\cdot {1.1538461538461537}^3=91\cdot 1.5361857077833405=139.792899408284$$

$$a_5=a_1·r^{n-1}=91\cdot {1.1538461538461537}^{5-1}=91\cdot {1.1538461538461537}^4=91\cdot 1.772521970519239=161.29949931725073$$

$$a_6=a_1·r^{n-1}=91\cdot {1.1538461538461537}^{6-1}=91\cdot {1.1538461538461537}^5=91\cdot 2.0452176582914294=186.11480690452007$$

$$a_7=a_1·r^{n-1}=91\cdot {1.1538461538461537}^{7-1}=91\cdot {1.1538461538461537}^6=91\cdot 2.3598665287978027=214.74785412060004$$

$$a_8=a_1·r^{n-1}=91\cdot {1.1538461538461537}^{8-1}=91\cdot {1.1538461538461537}^7=91\cdot 2.7229229178436185=247.78598552376928$$

$$a_9=a_1·r^{n-1}=91\cdot {1.1538461538461537}^{9-1}=91\cdot {1.1538461538461537}^8=91\cdot 3.1418341359734057=285.90690637357994$$

$$a_{10}=a_1·r^{n-1}=91\cdot {1.1538461538461537}^{10-1}=91\cdot {1.1538461538461537}^9=91\cdot 3.6251932338154678=329.89258427720756$$