সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=88$$ এবং সাধারণ অনুপাত: $$r=1.1136363636363635$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=88$$

$$a_2=a_1·r^{n-1}=88\cdot {1.1136363636363635}^{2-1}=88\cdot {1.1136363636363635}^1=88\cdot 1.1136363636363635=97.99999999999999$$

$$a_3=a_1·r^{n-1}=88\cdot {1.1136363636363635}^{3-1}=88\cdot {1.1136363636363635}^2=88\cdot 1.2401859504132229=109.13636363636361$$

$$a_4=a_1·r^{n-1}=88\cdot {1.1136363636363635}^{4-1}=88\cdot {1.1136363636363635}^3=88\cdot 1.381116172051089=121.53822314049583$$

$$a_5=a_1·r^{n-1}=88\cdot {1.1136363636363635}^{5-1}=88\cdot {1.1136363636363635}^4=88\cdot 1.538061191602349=135.3493848610067$$

$$a_6=a_1·r^{n-1}=88\cdot {1.1136363636363635}^{6-1}=88\cdot {1.1136363636363635}^5=88\cdot 1.712840872466252=150.72999677703018$$

$$a_7=a_1·r^{n-1}=88\cdot {1.1136363636363635}^{7-1}=88\cdot {1.1136363636363635}^6=88\cdot 1.9074818807010534=167.8584055016927$$

$$a_8=a_1·r^{n-1}=88\cdot {1.1136363636363635}^{8-1}=88\cdot {1.1136363636363635}^7=88\cdot 2.1242411853261727=186.9332243087032$$

$$a_9=a_1·r^{n-1}=88\cdot {1.1136363636363635}^{9-1}=88\cdot {1.1136363636363635}^8=88\cdot 2.365632229113238=208.17563616196495$$

$$a_{10}=a_1·r^{n-1}=88\cdot {1.1136363636363635}^{10-1}=88\cdot {1.1136363636363635}^9=88\cdot 2.6344540733306507=231.83195845309726$$