সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=88$$ এবং সাধারণ অনুপাত: $$r=0.022727272727272728$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=88$$

$$a_2=a_1·r^{n-1}=88\cdot {0.022727272727272728}^{2-1}=88\cdot {0.022727272727272728}^1=88\cdot 0.022727272727272728=2$$

$$a_3=a_1·r^{n-1}=88\cdot {0.022727272727272728}^{3-1}=88\cdot {0.022727272727272728}^2=88\cdot 0.0005165289256198347=0.045454545454545456$$

$$a_4=a_1·r^{n-1}=88\cdot {0.022727272727272728}^{4-1}=88\cdot {0.022727272727272728}^3=88\cdot 1.1739293764087153E-05=0.0010330578512396695$$

$$a_5=a_1·r^{n-1}=88\cdot {0.022727272727272728}^{5-1}=88\cdot {0.022727272727272728}^4=88\cdot 2.6680213100198077E-07=2.3478587528174306E-05$$

$$a_6=a_1·r^{n-1}=88\cdot {0.022727272727272728}^{6-1}=88\cdot {0.022727272727272728}^5=88\cdot 6.063684795499563E-09=5.336042620039615E-07$$

$$a_7=a_1·r^{n-1}=88\cdot {0.022727272727272728}^{7-1}=88\cdot {0.022727272727272728}^6=88\cdot 1.3781101807953553E-10=1.2127369590999127E-08$$

$$a_8=a_1·r^{n-1}=88\cdot {0.022727272727272728}^{8-1}=88\cdot {0.022727272727272728}^7=88\cdot 3.1320685927167167E-12=2.7562203615907106E-10$$

$$a_9=a_1·r^{n-1}=88\cdot {0.022727272727272728}^{9-1}=88\cdot {0.022727272727272728}^8=88\cdot 7.11833771071981E-14=6.2641371854334334E-12$$

$$a_{10}=a_1·r^{n-1}=88\cdot {0.022727272727272728}^{10-1}=88\cdot {0.022727272727272728}^9=88\cdot 1.6178040251635934E-15=1.4236675421439623E-13$$