সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=88$$ এবং সাধারণ অনুপাত: $$r=0.4090909090909091$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=88$$

$$a_2=a_1·r^{n-1}=88\cdot {0.4090909090909091}^{2-1}=88\cdot {0.4090909090909091}^1=88\cdot 0.4090909090909091=36$$

$$a_3=a_1·r^{n-1}=88\cdot {0.4090909090909091}^{3-1}=88\cdot {0.4090909090909091}^2=88\cdot 0.16735537190082647=14.72727272727273$$

$$a_4=a_1·r^{n-1}=88\cdot {0.4090909090909091}^{4-1}=88\cdot {0.4090909090909091}^3=88\cdot 0.06846356123215629=6.024793388429753$$

$$a_5=a_1·r^{n-1}=88\cdot {0.4090909090909091}^{5-1}=88\cdot {0.4090909090909091}^4=88\cdot 0.028007820504063936=2.464688204357626$$

$$a_6=a_1·r^{n-1}=88\cdot {0.4090909090909091}^{6-1}=88\cdot {0.4090909090909091}^5=88\cdot 0.011457744751662521=1.008281538146302$$

$$a_7=a_1·r^{n-1}=88\cdot {0.4090909090909091}^{7-1}=88\cdot {0.4090909090909091}^6=88\cdot 0.004687259216589213=0.41247881105985074$$

$$a_8=a_1·r^{n-1}=88\cdot {0.4090909090909091}^{8-1}=88\cdot {0.4090909090909091}^7=88\cdot 0.0019175151340592236=0.16874133179721168$$

$$a_9=a_1·r^{n-1}=88\cdot {0.4090909090909091}^{9-1}=88\cdot {0.4090909090909091}^8=88\cdot 0.0007844380093878643=0.06903054482613206$$

$$a_{10}=a_1·r^{n-1}=88\cdot {0.4090909090909091}^{10-1}=88\cdot {0.4090909090909091}^9=88\cdot 0.0003209064583859445=0.028239768337963118$$