সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=59$$ এবং সাধারণ অনুপাত: $$r=0.11864406779661017$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=59$$

$$a_2=a_1·r^{n-1}=59\cdot {0.11864406779661017}^{2-1}=59\cdot {0.11864406779661017}^1=59\cdot 0.11864406779661017=7$$

$$a_3=a_1·r^{n-1}=59\cdot {0.11864406779661017}^{3-1}=59\cdot {0.11864406779661017}^2=59\cdot 0.014076414823326631=0.8305084745762713$$

$$a_4=a_1·r^{n-1}=59\cdot {0.11864406779661017}^{4-1}=59\cdot {0.11864406779661017}^3=59\cdot 0.0016700831146319731=0.09853490376328641$$

$$a_5=a_1·r^{n-1}=59\cdot {0.11864406779661017}^{5-1}=59\cdot {0.11864406779661017}^4=59\cdot 0.00019814545427836972=0.011690581802423813$$

$$a_6=a_1·r^{n-1}=59\cdot {0.11864406779661017}^{6-1}=59\cdot {0.11864406779661017}^5=59\cdot 2.3508782710993017E-05=0.001387018179948588$$

$$a_7=a_1·r^{n-1}=59\cdot {0.11864406779661017}^{7-1}=59\cdot {0.11864406779661017}^6=59\cdot 2.7891776097788327E-06=0.00016456147897695112$$

$$a_8=a_1·r^{n-1}=59\cdot {0.11864406779661017}^{8-1}=59\cdot {0.11864406779661017}^7=59\cdot 3.309193774313869E-07=1.952424326845183E-05$$

$$a_9=a_1·r^{n-1}=59\cdot {0.11864406779661017}^{9-1}=59\cdot {0.11864406779661017}^8=59\cdot 3.92616210511815E-08=2.3164356420197086E-06$$

$$a_{10}=a_1·r^{n-1}=59\cdot {0.11864406779661017}^{10-1}=59\cdot {0.11864406779661017}^9=59\cdot 4.658158429801195E-09=2.7483134735827053E-07$$