সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=86$$ এবং সাধারণ অনুপাত: $$r=1.3953488372093024$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=86$$

$$a_2=a_1·r^{n-1}=86\cdot {1.3953488372093024}^{2-1}=86\cdot {1.3953488372093024}^1=86\cdot 1.3953488372093024=120$$

$$a_3=a_1·r^{n-1}=86\cdot {1.3953488372093024}^{3-1}=86\cdot {1.3953488372093024}^2=86\cdot 1.9469983775013522=167.4418604651163$$

$$a_4=a_1·r^{n-1}=86\cdot {1.3953488372093024}^{4-1}=86\cdot {1.3953488372093024}^3=86\cdot 2.71674192209491=233.63980530016227$$

$$a_5=a_1·r^{n-1}=86\cdot {1.3953488372093024}^{5-1}=86\cdot {1.3953488372093024}^4=86\cdot 3.790802681992898=326.0090306513892$$

$$a_6=a_1·r^{n-1}=86\cdot {1.3953488372093024}^{6-1}=86\cdot {1.3953488372093024}^5=86\cdot 5.289492114408695=454.8963218391478$$

$$a_7=a_1·r^{n-1}=86\cdot {1.3953488372093024}^{7-1}=86\cdot {1.3953488372093024}^6=86\cdot 7.380686671267947=634.7390537290435$$

$$a_8=a_1·r^{n-1}=86\cdot {1.3953488372093024}^{8-1}=86\cdot {1.3953488372093024}^7=86\cdot 10.298632564559925=885.6824005521536$$

$$a_9=a_1·r^{n-1}=86\cdot {1.3953488372093024}^{9-1}=86\cdot {1.3953488372093024}^8=86\cdot 14.370184973804548=1235.8359077471912$$

$$a_{10}=a_1·r^{n-1}=86\cdot {1.3953488372093024}^{10-1}=86\cdot {1.3953488372093024}^9=86\cdot 20.051420893680763=1724.4221968565457$$