সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=69$$ এবং সাধারণ অনুপাত: $$r=0.4782608695652174$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=69$$

$$a_2=a_1·r^{n-1}=69\cdot {0.4782608695652174}^{2-1}=69\cdot {0.4782608695652174}^1=69\cdot 0.4782608695652174=33$$

$$a_3=a_1·r^{n-1}=69\cdot {0.4782608695652174}^{3-1}=69\cdot {0.4782608695652174}^2=69\cdot 0.2287334593572779=15.782608695652176$$

$$a_4=a_1·r^{n-1}=69\cdot {0.4782608695652174}^{4-1}=69\cdot {0.4782608695652174}^3=69\cdot 0.10939426317087204=7.548204158790171$$

$$a_5=a_1·r^{n-1}=69\cdot {0.4782608695652174}^{5-1}=69\cdot {0.4782608695652174}^4=69\cdot 0.0523189954295475=3.6100106846387776$$

$$a_6=a_1·r^{n-1}=69\cdot {0.4782608695652174}^{6-1}=69\cdot {0.4782608695652174}^5=69\cdot 0.025022128248914022=1.7265268491750676$$

$$a_7=a_1·r^{n-1}=69\cdot {0.4782608695652174}^{7-1}=69\cdot {0.4782608695652174}^6=69\cdot 0.011967104814698011=0.8257302322141628$$

$$a_8=a_1·r^{n-1}=69\cdot {0.4782608695652174}^{8-1}=69\cdot {0.4782608695652174}^7=69\cdot 0.00572339795485557=0.39491445888503435$$

$$a_9=a_1·r^{n-1}=69\cdot {0.4782608695652174}^{9-1}=69\cdot {0.4782608695652174}^8=69\cdot 0.002737277282757012=0.18887213251023383$$

$$a_{10}=a_1·r^{n-1}=69\cdot {0.4782608695652174}^{10-1}=69\cdot {0.4782608695652174}^9=69\cdot 0.0013091326134924842=0.0903301503309814$$