সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=3,645$$ এবং সাধারণ অনুপাত: $$r=0.0016460905349794238$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=3645$$

$$a_2=a_1·r^{n-1}=3645\cdot {0.0016460905349794238}^{2-1}=3645\cdot {0.0016460905349794238}^1=3645\cdot 0.0016460905349794238=6$$

$$a_3=a_1·r^{n-1}=3645\cdot {0.0016460905349794238}^{3-1}=3645\cdot {0.0016460905349794238}^2=3645\cdot 2.7096140493488458E-06=0.009876543209876543$$

$$a_4=a_1·r^{n-1}=3645\cdot {0.0016460905349794238}^{4-1}=3645\cdot {0.0016460905349794238}^3=3645\cdot 4.4602700400804046E-09=1.6257684296093074E-05$$

$$a_5=a_1·r^{n-1}=3645\cdot {0.0016460905349794238}^{5-1}=3645\cdot {0.0016460905349794238}^4=3645\cdot 7.34200829642865E-12=2.6761620240482427E-08$$

$$a_6=a_1·r^{n-1}=3645\cdot {0.0016460905349794238}^{6-1}=3645\cdot {0.0016460905349794238}^5=3645\cdot 1.2085610364491604E-14=4.40520497785719E-11$$

$$a_7=a_1·r^{n-1}=3645\cdot {0.0016460905349794238}^{7-1}=3645\cdot {0.0016460905349794238}^6=3645\cdot 1.9894008830438853E-17=7.251366218694962E-14$$

$$a_8=a_1·r^{n-1}=3645\cdot {0.0016460905349794238}^{8-1}=3645\cdot {0.0016460905349794238}^7=3645\cdot 3.2747339638582473E-20=1.193640529826331E-16$$

$$a_9=a_1·r^{n-1}=3645\cdot {0.0016460905349794238}^{9-1}=3645\cdot {0.0016460905349794238}^8=3645\cdot 5.390508582482712E-23=1.9648403783149484E-19$$

$$a_{10}=a_1·r^{n-1}=3645\cdot {0.0016460905349794238}^{10-1}=3645\cdot {0.0016460905349794238}^9=3645\cdot 8.873265156350142E-26=3.234305149489627E-22$$