সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=2,148$$ এবং সাধারণ অনুপাত: $$r=1.3407821229050279$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=2148$$

$$a_2=a_1·r^{n-1}=2148\cdot {1.3407821229050279}^{2-1}=2148\cdot {1.3407821229050279}^1=2148\cdot 1.3407821229050279=2880$$

$$a_3=a_1·r^{n-1}=2148\cdot {1.3407821229050279}^{3-1}=2148\cdot {1.3407821229050279}^2=2148\cdot 1.7976967011017133=3861.45251396648$$

$$a_4=a_1·r^{n-1}=2148\cdot {1.3407821229050279}^{4-1}=2148\cdot {1.3407821229050279}^3=2148\cdot 2.4103195992425204=5177.366499172934$$

$$a_5=a_1·r^{n-1}=2148\cdot {1.3407821229050279}^{5-1}=2148\cdot {1.3407821229050279}^4=2148\cdot 3.2317134291519825=6941.720445818459$$

$$a_6=a_1·r^{n-1}=2148\cdot {1.3407821229050279}^{6-1}=2148\cdot {1.3407821229050279}^5=2148\cdot 4.3330235921590825=9307.334675957709$$

$$a_7=a_1·r^{n-1}=2148\cdot {1.3407821229050279}^{7-1}=2148\cdot {1.3407821229050279}^6=2148\cdot 5.809640570492624=12479.107945418156$$

$$a_8=a_1·r^{n-1}=2148\cdot {1.3407821229050279}^{8-1}=2148\cdot {1.3407821229050279}^7=2148\cdot 7.789462217420278=16731.764843018755$$

$$a_9=a_1·r^{n-1}=2148\cdot {1.3407821229050279}^{9-1}=2148\cdot {1.3407821229050279}^8=2148\cdot 10.443971688161266=22433.6511861704$$

$$a_{10}=a_1·r^{n-1}=2148\cdot {1.3407821229050279}^{10-1}=2148\cdot {1.3407821229050279}^9=2148\cdot 14.00309053161287=30078.638461904444$$