সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=100$$ এবং সাধারণ অনুপাত: $$r=0.98$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=100$$

$$a_2=a_1·r^{n-1}=100\cdot {0.98}^{2-1}=100\cdot {0.98}^1=100\cdot 0.98=98$$

$$a_3=a_1·r^{n-1}=100\cdot {0.98}^{3-1}=100\cdot {0.98}^2=100\cdot 0.9603999999999999=96.03999999999999$$

$$a_4=a_1·r^{n-1}=100\cdot {0.98}^{4-1}=100\cdot {0.98}^3=100\cdot 0.9411919999999999=94.11919999999999$$

$$a_5=a_1·r^{n-1}=100\cdot {0.98}^{5-1}=100\cdot {0.98}^4=100\cdot 0.9223681599999999=92.23681599999999$$

$$a_6=a_1·r^{n-1}=100\cdot {0.98}^{6-1}=100\cdot {0.98}^5=100\cdot 0.9039207967999999=90.39207968$$

$$a_7=a_1·r^{n-1}=100\cdot {0.98}^{7-1}=100\cdot {0.98}^6=100\cdot 0.8858423808639999=88.58423808639999$$

$$a_8=a_1·r^{n-1}=100\cdot {0.98}^{8-1}=100\cdot {0.98}^7=100\cdot 0.8681255332467199=86.812553324672$$

$$a_9=a_1·r^{n-1}=100\cdot {0.98}^{9-1}=100\cdot {0.98}^8=100\cdot 0.8507630225817855=85.07630225817854$$

$$a_{10}=a_1·r^{n-1}=100\cdot {0.98}^{10-1}=100\cdot {0.98}^9=100\cdot 0.8337477621301498=83.37477621301498$$