সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=59$$ এবং সাধারণ অনুপাত: $$r=0.423728813559322$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=59$$

$$a_2=a_1·r^{n-1}=59\cdot {0.423728813559322}^{2-1}=59\cdot {0.423728813559322}^1=59\cdot 0.423728813559322=25$$

$$a_3=a_1·r^{n-1}=59\cdot {0.423728813559322}^{3-1}=59\cdot {0.423728813559322}^2=59\cdot 0.17954610744039068=10.59322033898305$$

$$a_4=a_1·r^{n-1}=59\cdot {0.423728813559322}^{4-1}=59\cdot {0.423728813559322}^3=59\cdot 0.0760788590849113=4.488652686009766$$

$$a_5=a_1·r^{n-1}=59\cdot {0.423728813559322}^{5-1}=59\cdot {0.423728813559322}^4=59\cdot 0.03223680469699631=1.9019714771227823$$

$$a_6=a_1·r^{n-1}=59\cdot {0.423728813559322}^{6-1}=59\cdot {0.423728813559322}^5=59\cdot 0.013659663007201827=0.8059201174249078$$

$$a_7=a_1·r^{n-1}=59\cdot {0.423728813559322}^{7-1}=59\cdot {0.423728813559322}^6=59\cdot 0.00578799279966179=0.34149157518004564$$

$$a_8=a_1·r^{n-1}=59\cdot {0.423728813559322}^{8-1}=59\cdot {0.423728813559322}^7=59\cdot 0.002452539321890589=0.14469981999154474$$

$$a_9=a_1·r^{n-1}=59\cdot {0.423728813559322}^{9-1}=59\cdot {0.423728813559322}^8=59\cdot 0.0010392115770722836=0.06131348304726473$$

$$a_{10}=a_1·r^{n-1}=59\cdot {0.423728813559322}^{10-1}=59\cdot {0.423728813559322}^9=59\cdot 0.00044034388858995064=0.025980289426807086$$