সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=57$$ এবং সাধারণ অনুপাত: $$r=0.9473684210526315$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=57$$

$$a_2=a_1·r^{n-1}=57\cdot {0.9473684210526315}^{2-1}=57\cdot {0.9473684210526315}^1=57\cdot 0.9473684210526315=54$$

$$a_3=a_1·r^{n-1}=57\cdot {0.9473684210526315}^{3-1}=57\cdot {0.9473684210526315}^2=57\cdot 0.8975069252077561=51.157894736842096$$

$$a_4=a_1·r^{n-1}=57\cdot {0.9473684210526315}^{4-1}=57\cdot {0.9473684210526315}^3=57\cdot 0.8502697186178741=48.46537396121882$$

$$a_5=a_1·r^{n-1}=57\cdot {0.9473684210526315}^{5-1}=57\cdot {0.9473684210526315}^4=57\cdot 0.8055186807958807=45.9145648053652$$

$$a_6=a_1·r^{n-1}=57\cdot {0.9473684210526315}^{6-1}=57\cdot {0.9473684210526315}^5=57\cdot 0.7631229607539922=43.498008762977555$$

$$a_7=a_1·r^{n-1}=57\cdot {0.9473684210526315}^{7-1}=57\cdot {0.9473684210526315}^6=57\cdot 0.722958594398519=41.20863988071558$$

$$a_8=a_1·r^{n-1}=57\cdot {0.9473684210526315}^{8-1}=57\cdot {0.9473684210526315}^7=57\cdot 0.6849081420617548=39.03976409752002$$

$$a_9=a_1·r^{n-1}=57\cdot {0.9473684210526315}^{9-1}=57\cdot {0.9473684210526315}^8=57\cdot 0.648860345111136=36.985039671334754$$

$$a_{10}=a_1·r^{n-1}=57\cdot {0.9473684210526315}^{10-1}=57\cdot {0.9473684210526315}^9=57\cdot 0.6147098006316025=35.038458636001344$$