সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=88$$ এবং সাধারণ অনুপাত: $$r=0.36363636363636365$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=88$$

$$a_2=a_1·r^{n-1}=88\cdot {0.36363636363636365}^{2-1}=88\cdot {0.36363636363636365}^1=88\cdot 0.36363636363636365=32$$

$$a_3=a_1·r^{n-1}=88\cdot {0.36363636363636365}^{3-1}=88\cdot {0.36363636363636365}^2=88\cdot 0.1322314049586777=11.636363636363637$$

$$a_4=a_1·r^{n-1}=88\cdot {0.36363636363636365}^{4-1}=88\cdot {0.36363636363636365}^3=88\cdot 0.04808414725770098=4.231404958677686$$

$$a_5=a_1·r^{n-1}=88\cdot {0.36363636363636365}^{5-1}=88\cdot {0.36363636363636365}^4=88\cdot 0.01748514445734581=1.5386927122464313$$

$$a_6=a_1·r^{n-1}=88\cdot {0.36363636363636365}^{6-1}=88\cdot {0.36363636363636365}^5=88\cdot 0.0063582343481257495=0.559524622635066$$

$$a_7=a_1·r^{n-1}=88\cdot {0.36363636363636365}^{7-1}=88\cdot {0.36363636363636365}^6=88\cdot 0.0023120852175002727=0.203463499140024$$

$$a_8=a_1·r^{n-1}=88\cdot {0.36363636363636365}^{8-1}=88\cdot {0.36363636363636365}^7=88\cdot 0.0008407582609091901=0.07398672696000873$$

$$a_9=a_1·r^{n-1}=88\cdot {0.36363636363636365}^{9-1}=88\cdot {0.36363636363636365}^8=88\cdot 0.00030573027669425094=0.026904264349094084$$

$$a_{10}=a_1·r^{n-1}=88\cdot {0.36363636363636365}^{10-1}=88\cdot {0.36363636363636365}^9=88\cdot 0.00011117464607063672=0.009783368854216032$$