সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=74$$ এবং সাধারণ অনুপাত: $$r=1.337837837837838$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=74$$

$$a_2=a_1·r^{n-1}=74\cdot {1.337837837837838}^{2-1}=74\cdot {1.337837837837838}^1=74\cdot 1.337837837837838=99.00000000000001$$

$$a_3=a_1·r^{n-1}=74\cdot {1.337837837837838}^{3-1}=74\cdot {1.337837837837838}^2=74\cdot 1.7898100803506212=132.44594594594597$$

$$a_4=a_1·r^{n-1}=74\cdot {1.337837837837838}^{4-1}=74\cdot {1.337837837837838}^3=74\cdot 2.394475648036642=177.1911979547115$$

$$a_5=a_1·r^{n-1}=74\cdot {1.337837837837838}^{5-1}=74\cdot {1.337837837837838}^4=74\cdot 3.203420123724697=237.0530891556276$$

$$a_6=a_1·r^{n-1}=74\cdot {1.337837837837838}^{6-1}=74\cdot {1.337837837837838}^5=74\cdot 4.285656652010068=317.138592248745$$

$$a_7=a_1·r^{n-1}=74\cdot {1.337837837837838}^{7-1}=74\cdot {1.337837837837838}^6=74\cdot 5.733513629040496=424.28000854899676$$

$$a_8=a_1·r^{n-1}=74\cdot {1.337837837837838}^{8-1}=74\cdot {1.337837837837838}^7=74\cdot 7.670511476689314=567.6178492750092$$

$$a_9=a_1·r^{n-1}=74\cdot {1.337837837837838}^{9-1}=74\cdot {1.337837837837838}^8=74\cdot 10.261900489084352=759.380636192242$$

$$a_{10}=a_1·r^{n-1}=74\cdot {1.337837837837838}^{10-1}=74\cdot {1.337837837837838}^9=74\cdot 13.728758762423663=1015.928148419351$$