সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=88$$ এবং সাধারণ অনুপাত: $$r=0.8636363636363636$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=88$$

$$a_2=a_1·r^{n-1}=88\cdot {0.8636363636363636}^{2-1}=88\cdot {0.8636363636363636}^1=88\cdot 0.8636363636363636=76$$

$$a_3=a_1·r^{n-1}=88\cdot {0.8636363636363636}^{3-1}=88\cdot {0.8636363636363636}^2=88\cdot 0.7458677685950413=65.63636363636364$$

$$a_4=a_1·r^{n-1}=88\cdot {0.8636363636363636}^{4-1}=88\cdot {0.8636363636363636}^3=88\cdot 0.6441585274229903=56.685950413223146$$

$$a_5=a_1·r^{n-1}=88\cdot {0.8636363636363636}^{5-1}=88\cdot {0.8636363636363636}^4=88\cdot 0.5563187282289461=48.956048084147255$$

$$a_6=a_1·r^{n-1}=88\cdot {0.8636363636363636}^{6-1}=88\cdot {0.8636363636363636}^5=88\cdot 0.48045708347045346=42.280223345399904$$

$$a_7=a_1·r^{n-1}=88\cdot {0.8636363636363636}^{7-1}=88\cdot {0.8636363636363636}^6=88\cdot 0.4149402084517553=36.514738343754466$$

$$a_8=a_1·r^{n-1}=88\cdot {0.8636363636363636}^{8-1}=88\cdot {0.8636363636363636}^7=88\cdot 0.35835745275378866=31.535455842333402$$

$$a_9=a_1·r^{n-1}=88\cdot {0.8636363636363636}^{9-1}=88\cdot {0.8636363636363636}^8=88\cdot 0.30949052737827204=27.235166409287938$$

$$a_{10}=a_1·r^{n-1}=88\cdot {0.8636363636363636}^{10-1}=88\cdot {0.8636363636363636}^9=88\cdot 0.2672872736448713=23.521280080748674$$