সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=65$$ এবং সাধারণ অনুপাত: $$r=0.046153846153846156$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=65$$

$$a_2=a_1·r^{n-1}=65\cdot {0.046153846153846156}^{2-1}=65\cdot {0.046153846153846156}^1=65\cdot 0.046153846153846156=3$$

$$a_3=a_1·r^{n-1}=65\cdot {0.046153846153846156}^{3-1}=65\cdot {0.046153846153846156}^2=65\cdot 0.0021301775147928997=0.13846153846153847$$

$$a_4=a_1·r^{n-1}=65\cdot {0.046153846153846156}^{4-1}=65\cdot {0.046153846153846156}^3=65\cdot 9.831588529813383E-05=0.006390532544378699$$

$$a_5=a_1·r^{n-1}=65\cdot {0.046153846153846156}^{5-1}=65\cdot {0.046153846153846156}^4=65\cdot 4.537656244529254E-06=0.0002949476558944015$$

$$a_6=a_1·r^{n-1}=65\cdot {0.046153846153846156}^{6-1}=65\cdot {0.046153846153846156}^5=65\cdot 2.0943028820904252E-07=1.3612968733587764E-05$$

$$a_7=a_1·r^{n-1}=65\cdot {0.046153846153846156}^{7-1}=65\cdot {0.046153846153846156}^6=65\cdot 9.666013301955809E-09=6.282908646271276E-07$$

$$a_8=a_1·r^{n-1}=65\cdot {0.046153846153846156}^{8-1}=65\cdot {0.046153846153846156}^7=65\cdot 4.4612369085949887E-10=2.8998039905867427E-08$$

$$a_9=a_1·r^{n-1}=65\cdot {0.046153846153846156}^{9-1}=65\cdot {0.046153846153846156}^8=65\cdot 2.0590324193515334E-11=1.3383710725784967E-09$$

$$a_{10}=a_1·r^{n-1}=65\cdot {0.046153846153846156}^{10-1}=65\cdot {0.046153846153846156}^9=65\cdot 9.503226550853233E-13=6.177097258054601E-11$$