সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=2,736$$ এবং সাধারণ অনুপাত: $$r=0.5$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=2736$$

$$a_2=a_1·r^{n-1}=2736\cdot {0.5}^{2-1}=2736\cdot {0.5}^1=2736\cdot 0.5=1368$$

$$a_3=a_1·r^{n-1}=2736\cdot {0.5}^{3-1}=2736\cdot {0.5}^2=2736\cdot 0.25=684$$

$$a_4=a_1·r^{n-1}=2736\cdot {0.5}^{4-1}=2736\cdot {0.5}^3=2736\cdot 0.125=342$$

$$a_5=a_1·r^{n-1}=2736\cdot {0.5}^{5-1}=2736\cdot {0.5}^4=2736\cdot 0.0625=171$$

$$a_6=a_1·r^{n-1}=2736\cdot {0.5}^{6-1}=2736\cdot {0.5}^5=2736\cdot 0.03125=85.5$$

$$a_7=a_1·r^{n-1}=2736\cdot {0.5}^{7-1}=2736\cdot {0.5}^6=2736\cdot 0.015625=42.75$$

$$a_8=a_1·r^{n-1}=2736\cdot {0.5}^{8-1}=2736\cdot {0.5}^7=2736\cdot 0.0078125=21.375$$

$$a_9=a_1·r^{n-1}=2736\cdot {0.5}^{9-1}=2736\cdot {0.5}^8=2736\cdot 0.00390625=10.6875$$

$$a_{10}=a_1·r^{n-1}=2736\cdot {0.5}^{10-1}=2736\cdot {0.5}^9=2736\cdot 0.001953125=5.34375$$