সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=429$$ এবং সাধারণ অনুপাত: $$r=0.09090909090909091$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=429$$

$$a_2=a_1·r^{n-1}=429\cdot {0.09090909090909091}^{2-1}=429\cdot {0.09090909090909091}^1=429\cdot 0.09090909090909091=39$$

$$a_3=a_1·r^{n-1}=429\cdot {0.09090909090909091}^{3-1}=429\cdot {0.09090909090909091}^2=429\cdot 0.008264462809917356=3.5454545454545454$$

$$a_4=a_1·r^{n-1}=429\cdot {0.09090909090909091}^{4-1}=429\cdot {0.09090909090909091}^3=429\cdot 0.0007513148009015778=0.3223140495867769$$

$$a_5=a_1·r^{n-1}=429\cdot {0.09090909090909091}^{5-1}=429\cdot {0.09090909090909091}^4=429\cdot 6.830134553650708E-05=0.029301277235161537$$

$$a_6=a_1·r^{n-1}=429\cdot {0.09090909090909091}^{6-1}=429\cdot {0.09090909090909091}^5=429\cdot 6.209213230591552E-06=0.0026637524759237758$$

$$a_7=a_1·r^{n-1}=429\cdot {0.09090909090909091}^{7-1}=429\cdot {0.09090909090909091}^6=429\cdot 5.644739300537775E-07=0.00024215931599307056$$

$$a_8=a_1·r^{n-1}=429\cdot {0.09090909090909091}^{8-1}=429\cdot {0.09090909090909091}^7=429\cdot 5.1315811823070687E-08=2.2014483272097324E-05$$

$$a_9=a_1·r^{n-1}=429\cdot {0.09090909090909091}^{9-1}=429\cdot {0.09090909090909091}^8=429\cdot 4.665073802097335E-09=2.0013166610997568E-06$$

$$a_{10}=a_1·r^{n-1}=429\cdot {0.09090909090909091}^{10-1}=429\cdot {0.09090909090909091}^9=429\cdot 4.2409761837248504E-10=1.819378782817961E-07$$