সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=123$$ এবং সাধারণ অনুপাত: $$r=0.2601626016260163$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=123$$

$$a_2=a_1·r^{n-1}=123\cdot {0.2601626016260163}^{2-1}=123\cdot {0.2601626016260163}^1=123\cdot 0.2601626016260163=32$$

$$a_3=a_1·r^{n-1}=123\cdot {0.2601626016260163}^{3-1}=123\cdot {0.2601626016260163}^2=123\cdot 0.06768457928481725=8.325203252032521$$

$$a_4=a_1·r^{n-1}=123\cdot {0.2601626016260163}^{4-1}=123\cdot {0.2601626016260163}^3=123\cdot 0.017608996236700425=2.1659065371141524$$

$$a_5=a_1·r^{n-1}=123\cdot {0.2601626016260163}^{5-1}=123\cdot {0.2601626016260163}^4=123\cdot 0.004581202272962713=0.5634878795744137$$

$$a_6=a_1·r^{n-1}=123\cdot {0.2601626016260163}^{6-1}=123\cdot {0.2601626016260163}^5=123\cdot 0.0011918575019089985=0.1465984727348068$$

$$a_7=a_1·r^{n-1}=123\cdot {0.2601626016260163}^{7-1}=123\cdot {0.2601626016260163}^6=123\cdot 0.00031007674846412976=0.03813944006108796$$

$$a_8=a_1·r^{n-1}=123\cdot {0.2601626016260163}^{8-1}=123\cdot {0.2601626016260163}^7=123\cdot 8.067037358416385E-05=0.009922455950852152$$

$$a_9=a_1·r^{n-1}=123\cdot {0.2601626016260163}^{9-1}=123\cdot {0.2601626016260163}^8=123\cdot 2.0987414265798725E-05=0.002581451954693243$$

$$a_{10}=a_1·r^{n-1}=123\cdot {0.2601626016260163}^{10-1}=123\cdot {0.2601626016260163}^9=123\cdot 5.460140296793165E-06=0.0006715972565055593$$