সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=99$$ এবং সাধারণ অনুপাত: $$r=1.4545454545454546$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=99$$

$$a_2=a_1·r^{n-1}=99\cdot {1.4545454545454546}^{2-1}=99\cdot {1.4545454545454546}^1=99\cdot 1.4545454545454546=144$$

$$a_3=a_1·r^{n-1}=99\cdot {1.4545454545454546}^{3-1}=99\cdot {1.4545454545454546}^2=99\cdot 2.115702479338843=209.45454545454547$$

$$a_4=a_1·r^{n-1}=99\cdot {1.4545454545454546}^{4-1}=99\cdot {1.4545454545454546}^3=99\cdot 3.0773854244928627=304.6611570247934$$

$$a_5=a_1·r^{n-1}=99\cdot {1.4545454545454546}^{5-1}=99\cdot {1.4545454545454546}^4=99\cdot 4.476196981080528=443.14350112697224$$

$$a_6=a_1·r^{n-1}=99\cdot {1.4545454545454546}^{6-1}=99\cdot {1.4545454545454546}^5=99\cdot 6.5108319724807675=644.572365275596$$

$$a_7=a_1·r^{n-1}=99\cdot {1.4545454545454546}^{7-1}=99\cdot {1.4545454545454546}^6=99\cdot 9.470301050881117=937.5598040372306$$

$$a_8=a_1·r^{n-1}=99\cdot {1.4545454545454546}^{8-1}=99\cdot {1.4545454545454546}^7=99\cdot 13.774983346736171=1363.723351326881$$

$$a_9=a_1·r^{n-1}=99\cdot {1.4545454545454546}^{9-1}=99\cdot {1.4545454545454546}^8=99\cdot 20.03633941343443=1983.5976019300085$$

$$a_{10}=a_1·r^{n-1}=99\cdot {1.4545454545454546}^{10-1}=99\cdot {1.4545454545454546}^9=99\cdot 29.14376641954099=2885.2328755345584$$