সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=88$$ এবং সাধারণ অনুপাত: $$r=0.1590909090909091$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=88$$

$$a_2=a_1·r^{n-1}=88\cdot {0.1590909090909091}^{2-1}=88\cdot {0.1590909090909091}^1=88\cdot 0.1590909090909091=14$$

$$a_3=a_1·r^{n-1}=88\cdot {0.1590909090909091}^{3-1}=88\cdot {0.1590909090909091}^2=88\cdot 0.0253099173553719=2.227272727272727$$

$$a_4=a_1·r^{n-1}=88\cdot {0.1590909090909091}^{4-1}=88\cdot {0.1590909090909091}^3=88\cdot 0.004026577761081893=0.35433884297520657$$

$$a_5=a_1·r^{n-1}=88\cdot {0.1590909090909091}^{5-1}=88\cdot {0.1590909090909091}^4=88\cdot 0.0006405919165357557=0.05637208865514651$$

$$a_6=a_1·r^{n-1}=88\cdot {0.1590909090909091}^{6-1}=88\cdot {0.1590909090909091}^5=88\cdot 0.00010191235035796113=0.008968286831500579$$

$$a_7=a_1·r^{n-1}=88\cdot {0.1590909090909091}^{7-1}=88\cdot {0.1590909090909091}^6=88\cdot 1.6213328466039272E-05=0.001426772905011456$$

$$a_8=a_1·r^{n-1}=88\cdot {0.1590909090909091}^{8-1}=88\cdot {0.1590909090909091}^7=88\cdot 2.5793931650517024E-06=0.0002269865985245498$$

$$a_9=a_1·r^{n-1}=88\cdot {0.1590909090909091}^{9-1}=88\cdot {0.1590909090909091}^8=88\cdot 4.1035800353095264E-07=3.611150431072383E-05$$

$$a_{10}=a_1·r^{n-1}=88\cdot {0.1590909090909091}^{10-1}=88\cdot {0.1590909090909091}^9=88\cdot 6.528422783446974E-08=5.745012049433337E-06$$