সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=508$$ এবং সাধারণ অনুপাত: $$r=0.005905511811023622$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=508$$

$$a_2=a_1·r^{n-1}=508\cdot {0.005905511811023622}^{2-1}=508\cdot {0.005905511811023622}^1=508\cdot 0.005905511811023622=3$$

$$a_3=a_1·r^{n-1}=508\cdot {0.005905511811023622}^{3-1}=508\cdot {0.005905511811023622}^2=508\cdot 3.4875069750139496E-05=0.017716535433070862$$

$$a_4=a_1·r^{n-1}=508\cdot {0.005905511811023622}^{4-1}=508\cdot {0.005905511811023622}^3=508\cdot 2.0595513631972144E-07=0.00010462520925041849$$

$$a_5=a_1·r^{n-1}=508\cdot {0.005905511811023622}^{5-1}=508\cdot {0.005905511811023622}^4=508\cdot 1.2162704900770952E-09=6.178654089591644E-07$$

$$a_6=a_1·r^{n-1}=508\cdot {0.005905511811023622}^{6-1}=508\cdot {0.005905511811023622}^5=508\cdot 7.182699744549775E-12=3.6488114702312856E-09$$

$$a_7=a_1·r^{n-1}=508\cdot {0.005905511811023622}^{7-1}=508\cdot {0.005905511811023622}^6=508\cdot 4.241751817647505E-14=2.1548099233649323E-11$$

$$a_8=a_1·r^{n-1}=508\cdot {0.005905511811023622}^{8-1}=508\cdot {0.005905511811023622}^7=508\cdot 2.5049715458548253E-16=1.2725255452942512E-13$$

$$a_9=a_1·r^{n-1}=508\cdot {0.005905511811023622}^{9-1}=508\cdot {0.005905511811023622}^8=508\cdot 1.4793139050323773E-18=7.514914637564477E-16$$

$$a_{10}=a_1·r^{n-1}=508\cdot {0.005905511811023622}^{10-1}=508\cdot {0.005905511811023622}^9=508\cdot 8.73610573838018E-21=4.437941715097132E-18$$