সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=72$$ এবং সাধারণ অনুপাত: $$r=1.2638888888888888$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=72$$

$$a_2=a_1·r^{n-1}=72\cdot {1.2638888888888888}^{2-1}=72\cdot {1.2638888888888888}^1=72\cdot 1.2638888888888888=91$$

$$a_3=a_1·r^{n-1}=72\cdot {1.2638888888888888}^{3-1}=72\cdot {1.2638888888888888}^2=72\cdot 1.59741512345679=115.01388888888887$$

$$a_4=a_1·r^{n-1}=72\cdot {1.2638888888888888}^{4-1}=72\cdot {1.2638888888888888}^3=72\cdot 2.0189552254801093=145.36477623456787$$

$$a_5=a_1·r^{n-1}=72\cdot {1.2638888888888888}^{5-1}=72\cdot {1.2638888888888888}^4=72\cdot 2.5517350766484714=183.72492551868993$$

$$a_6=a_1·r^{n-1}=72\cdot {1.2638888888888888}^{6-1}=72\cdot {1.2638888888888888}^5=72\cdot 3.2251096107640405=232.2078919750109$$

$$a_7=a_1·r^{n-1}=72\cdot {1.2638888888888888}^{7-1}=72\cdot {1.2638888888888888}^6=72\cdot 4.07618020249344=293.48497457952766$$

$$a_8=a_1·r^{n-1}=72\cdot {1.2638888888888888}^{8-1}=72\cdot {1.2638888888888888}^7=72\cdot 5.151838867040319=370.932398426903$$

$$a_9=a_1·r^{n-1}=72\cdot {1.2638888888888888}^{9-1}=72\cdot {1.2638888888888888}^8=72\cdot 6.511351901398181=468.81733690066903$$

$$a_{10}=a_1·r^{n-1}=72\cdot {1.2638888888888888}^{10-1}=72\cdot {1.2638888888888888}^9=72\cdot 8.2296253198227=592.5330230272344$$