সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=264$$ এবং সাধারণ অনুপাত: $$r=0.022727272727272728$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=264$$

$$a_2=a_1·r^{n-1}=264\cdot {0.022727272727272728}^{2-1}=264\cdot {0.022727272727272728}^1=264\cdot 0.022727272727272728=6$$

$$a_3=a_1·r^{n-1}=264\cdot {0.022727272727272728}^{3-1}=264\cdot {0.022727272727272728}^2=264\cdot 0.0005165289256198347=0.13636363636363635$$

$$a_4=a_1·r^{n-1}=264\cdot {0.022727272727272728}^{4-1}=264\cdot {0.022727272727272728}^3=264\cdot 1.1739293764087153E-05=0.0030991735537190084$$

$$a_5=a_1·r^{n-1}=264\cdot {0.022727272727272728}^{5-1}=264\cdot {0.022727272727272728}^4=264\cdot 2.6680213100198077E-07=7.043576258452293E-05$$

$$a_6=a_1·r^{n-1}=264\cdot {0.022727272727272728}^{6-1}=264\cdot {0.022727272727272728}^5=264\cdot 6.063684795499563E-09=1.6008127860118845E-06$$

$$a_7=a_1·r^{n-1}=264\cdot {0.022727272727272728}^{7-1}=264\cdot {0.022727272727272728}^6=264\cdot 1.3781101807953553E-10=3.638210877299738E-08$$

$$a_8=a_1·r^{n-1}=264\cdot {0.022727272727272728}^{8-1}=264\cdot {0.022727272727272728}^7=264\cdot 3.1320685927167167E-12=8.268661084772132E-10$$

$$a_9=a_1·r^{n-1}=264\cdot {0.022727272727272728}^{9-1}=264\cdot {0.022727272727272728}^8=264\cdot 7.11833771071981E-14=1.87924115563003E-11$$

$$a_{10}=a_1·r^{n-1}=264\cdot {0.022727272727272728}^{10-1}=264\cdot {0.022727272727272728}^9=264\cdot 1.6178040251635934E-15=4.2710026264318865E-13$$