সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=88$$ এবং সাধারণ অনুপাত: $$r=1.0681818181818181$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=88$$

$$a_2=a_1·r^{n-1}=88\cdot {1.0681818181818181}^{2-1}=88\cdot {1.0681818181818181}^1=88\cdot 1.0681818181818181=94$$

$$a_3=a_1·r^{n-1}=88\cdot {1.0681818181818181}^{3-1}=88\cdot {1.0681818181818181}^2=88\cdot 1.1410123966942147=100.40909090909089$$

$$a_4=a_1·r^{n-1}=88\cdot {1.0681818181818181}^{4-1}=88\cdot {1.0681818181818181}^3=88\cdot 1.2188086964688203=107.25516528925618$$

$$a_5=a_1·r^{n-1}=88\cdot {1.0681818181818181}^{5-1}=88\cdot {1.0681818181818181}^4=88\cdot 1.301909289409876=114.56801746806909$$

$$a_6=a_1·r^{n-1}=88\cdot {1.0681818181818181}^{6-1}=88\cdot {1.0681818181818181}^5=88\cdot 1.3906758318696404=122.37947320452835$$

$$a_7=a_1·r^{n-1}=88\cdot {1.0681818181818181}^{7-1}=88\cdot {1.0681818181818181}^6=88\cdot 1.4854946385880248=130.72352819574618$$

$$a_8=a_1·r^{n-1}=88\cdot {1.0681818181818181}^{8-1}=88\cdot {1.0681818181818181}^7=88\cdot 1.5867783639462991=139.63649602727432$$

$$a_9=a_1·r^{n-1}=88\cdot {1.0681818181818181}^{9-1}=88\cdot {1.0681818181818181}^8=88\cdot 1.6949677978517286=149.1571662109521$$

$$a_{10}=a_1·r^{n-1}=88\cdot {1.0681818181818181}^{10-1}=88\cdot {1.0681818181818181}^9=88\cdot 1.8105337840688918=159.32697299806247$$