সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=156$$ এবং সাধারণ অনুপাত: $$r=0.05128205128205128$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=156$$

$$a_2=a_1·r^{n-1}=156\cdot {0.05128205128205128}^{2-1}=156\cdot {0.05128205128205128}^1=156\cdot 0.05128205128205128=8$$

$$a_3=a_1·r^{n-1}=156\cdot {0.05128205128205128}^{3-1}=156\cdot {0.05128205128205128}^2=156\cdot 0.0026298487836949372=0.4102564102564102$$

$$a_4=a_1·r^{n-1}=156\cdot {0.05128205128205128}^{4-1}=156\cdot {0.05128205128205128}^3=156\cdot 0.00013486404018948396=0.021038790269559498$$

$$a_5=a_1·r^{n-1}=156\cdot {0.05128205128205128}^{5-1}=156\cdot {0.05128205128205128}^4=156\cdot 6.916104625101741E-06=0.0010789123215158717$$

$$a_6=a_1·r^{n-1}=156\cdot {0.05128205128205128}^{6-1}=156\cdot {0.05128205128205128}^5=156\cdot 3.5467203205649953E-07=5.532883700081393E-05$$

$$a_7=a_1·r^{n-1}=156\cdot {0.05128205128205128}^{7-1}=156\cdot {0.05128205128205128}^6=156\cdot 1.8188309336230744E-08=2.8373762564519962E-06$$

$$a_8=a_1·r^{n-1}=156\cdot {0.05128205128205128}^{8-1}=156\cdot {0.05128205128205128}^7=156\cdot 9.327338121143973E-10=1.4550647468984598E-07$$

$$a_9=a_1·r^{n-1}=156\cdot {0.05128205128205128}^{9-1}=156\cdot {0.05128205128205128}^8=156\cdot 4.7832503185353696E-11=7.461870496915176E-09$$

$$a_{10}=a_1·r^{n-1}=156\cdot {0.05128205128205128}^{10-1}=156\cdot {0.05128205128205128}^9=156\cdot 2.4529488813001898E-12=3.826600254828296E-10$$