সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=69$$ এবং সাধারণ অনুপাত: $$r=0.043478260869565216$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=69$$

$$a_2=a_1·r^{n-1}=69\cdot {0.043478260869565216}^{2-1}=69\cdot {0.043478260869565216}^1=69\cdot 0.043478260869565216=3$$

$$a_3=a_1·r^{n-1}=69\cdot {0.043478260869565216}^{3-1}=69\cdot {0.043478260869565216}^2=69\cdot 0.0018903591682419658=0.13043478260869565$$

$$a_4=a_1·r^{n-1}=69\cdot {0.043478260869565216}^{4-1}=69\cdot {0.043478260869565216}^3=69\cdot 8.218952905399851E-05=0.005671077504725897$$

$$a_5=a_1·r^{n-1}=69\cdot {0.043478260869565216}^{5-1}=69\cdot {0.043478260869565216}^4=69\cdot 3.573457784956457E-06=0.0002465685871619955$$

$$a_6=a_1·r^{n-1}=69\cdot {0.043478260869565216}^{6-1}=69\cdot {0.043478260869565216}^5=69\cdot 1.5536772978071552E-07=1.072037335486937E-05$$

$$a_7=a_1·r^{n-1}=69\cdot {0.043478260869565216}^{7-1}=69\cdot {0.043478260869565216}^6=69\cdot 6.755118686118066E-09=4.6610318934214657E-07$$

$$a_8=a_1·r^{n-1}=69\cdot {0.043478260869565216}^{8-1}=69\cdot {0.043478260869565216}^7=69\cdot 2.937008124399159E-10=2.0265356058354198E-08$$

$$a_9=a_1·r^{n-1}=69\cdot {0.043478260869565216}^{9-1}=69\cdot {0.043478260869565216}^8=69\cdot 1.2769600540865909E-11=8.811024373197477E-10$$

$$a_{10}=a_1·r^{n-1}=69\cdot {0.043478260869565216}^{10-1}=69\cdot {0.043478260869565216}^9=69\cdot 5.55200023515909E-13=3.830880162259772E-11$$