সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=300$$ এবং সাধারণ অনুপাত: $$r=0.88$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=300$$

$$a_2=a_1·r^{n-1}=300\cdot {0.88}^{2-1}=300\cdot {0.88}^1=300\cdot 0.88=264$$

$$a_3=a_1·r^{n-1}=300\cdot {0.88}^{3-1}=300\cdot {0.88}^2=300\cdot 0.7744=232.32$$

$$a_4=a_1·r^{n-1}=300\cdot {0.88}^{4-1}=300\cdot {0.88}^3=300\cdot 0.681472=204.4416$$

$$a_5=a_1·r^{n-1}=300\cdot {0.88}^{5-1}=300\cdot {0.88}^4=300\cdot 0.59969536=179.90860800000002$$

$$a_6=a_1·r^{n-1}=300\cdot {0.88}^{6-1}=300\cdot {0.88}^5=300\cdot 0.5277319168=158.31957504$$

$$a_7=a_1·r^{n-1}=300\cdot {0.88}^{7-1}=300\cdot {0.88}^6=300\cdot 0.464404086784=139.3212260352$$

$$a_8=a_1·r^{n-1}=300\cdot {0.88}^{8-1}=300\cdot {0.88}^7=300\cdot 0.40867559636992=122.60267891097601$$

$$a_9=a_1·r^{n-1}=300\cdot {0.88}^{9-1}=300\cdot {0.88}^8=300\cdot 0.3596345248055296=107.89035744165888$$

$$a_{10}=a_1·r^{n-1}=300\cdot {0.88}^{10-1}=300\cdot {0.88}^9=300\cdot 0.31647838182886606=94.94351454865982$$