সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=98$$ এবং সাধারণ অনুপাত: $$r=1.2755102040816326$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=98$$

$$a_2=a_1·r^{n-1}=98\cdot {1.2755102040816326}^{2-1}=98\cdot {1.2755102040816326}^1=98\cdot 1.2755102040816326=125$$

$$a_3=a_1·r^{n-1}=98\cdot {1.2755102040816326}^{3-1}=98\cdot {1.2755102040816326}^2=98\cdot 1.626926280716368=159.43877551020407$$

$$a_4=a_1·r^{n-1}=98\cdot {1.2755102040816326}^{4-1}=98\cdot {1.2755102040816326}^3=98\cdot 2.0751610723423064=203.36578508954602$$

$$a_5=a_1·r^{n-1}=98\cdot {1.2755102040816326}^{5-1}=98\cdot {1.2755102040816326}^4=98\cdot 2.6468891228855944=259.39513404278824$$

$$a_6=a_1·r^{n-1}=98\cdot {1.2755102040816326}^{6-1}=98\cdot {1.2755102040816326}^5=98\cdot 3.376134085313258=330.8611403606993$$

$$a_7=a_1·r^{n-1}=98\cdot {1.2755102040816326}^{7-1}=98\cdot {1.2755102040816326}^6=98\cdot 4.30629347616487=422.0167606641573$$

$$a_8=a_1·r^{n-1}=98\cdot {1.2755102040816326}^{8-1}=98\cdot {1.2755102040816326}^7=98\cdot 5.492721270618457=538.2866845206088$$

$$a_9=a_1·r^{n-1}=98\cdot {1.2755102040816326}^{9-1}=98\cdot {1.2755102040816326}^8=98\cdot 7.006022028850072=686.590158827307$$

$$a_{10}=a_1·r^{n-1}=98\cdot {1.2755102040816326}^{10-1}=98\cdot {1.2755102040816326}^9=98\cdot 8.93625258781897=875.752753606259$$