সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=100$$ এবং সাধারণ অনুপাত: $$r=0.94$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=100$$

$$a_2=a_1·r^{n-1}=100\cdot {0.94}^{2-1}=100\cdot {0.94}^1=100\cdot 0.94=94$$

$$a_3=a_1·r^{n-1}=100\cdot {0.94}^{3-1}=100\cdot {0.94}^2=100\cdot 0.8835999999999999=88.36$$

$$a_4=a_1·r^{n-1}=100\cdot {0.94}^{4-1}=100\cdot {0.94}^3=100\cdot 0.8305839999999999=83.05839999999999$$

$$a_5=a_1·r^{n-1}=100\cdot {0.94}^{5-1}=100\cdot {0.94}^4=100\cdot 0.7807489599999998=78.07489599999998$$

$$a_6=a_1·r^{n-1}=100\cdot {0.94}^{6-1}=100\cdot {0.94}^5=100\cdot 0.7339040223999997=73.39040223999997$$

$$a_7=a_1·r^{n-1}=100\cdot {0.94}^{7-1}=100\cdot {0.94}^6=100\cdot 0.6898697810559997=68.98697810559997$$

$$a_8=a_1·r^{n-1}=100\cdot {0.94}^{8-1}=100\cdot {0.94}^7=100\cdot 0.6484775941926397=64.84775941926398$$

$$a_9=a_1·r^{n-1}=100\cdot {0.94}^{9-1}=100\cdot {0.94}^8=100\cdot 0.6095689385410813=60.95689385410813$$

$$a_{10}=a_1·r^{n-1}=100\cdot {0.94}^{10-1}=100\cdot {0.94}^9=100\cdot 0.5729948022286164=57.299480222861646$$