সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=37$$ এবং সাধারণ অনুপাত: $$r=0.9459459459459459$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=37$$

$$a_2=a_1·r^{n-1}=37\cdot {0.9459459459459459}^{2-1}=37\cdot {0.9459459459459459}^1=37\cdot 0.9459459459459459=35$$

$$a_3=a_1·r^{n-1}=37\cdot {0.9459459459459459}^{3-1}=37\cdot {0.9459459459459459}^2=37\cdot 0.8948137326515705=33.108108108108105$$

$$a_4=a_1·r^{n-1}=37\cdot {0.9459459459459459}^{4-1}=37\cdot {0.9459459459459459}^3=37\cdot 0.8464454227785126=31.318480642804968$$

$$a_5=a_1·r^{n-1}=37\cdot {0.9459459459459459}^{5-1}=37\cdot {0.9459459459459459}^4=37\cdot 0.8006916161418363=29.62558979724794$$

$$a_6=a_1·r^{n-1}=37\cdot {0.9459459459459459}^{6-1}=37\cdot {0.9459459459459459}^5=37\cdot 0.7574109882422775=28.024206564964267$$

$$a_7=a_1·r^{n-1}=37\cdot {0.9459459459459459}^{7-1}=37\cdot {0.9459459459459459}^6=37\cdot 0.716469853742695=26.509384588479715$$

$$a_8=a_1·r^{n-1}=37\cdot {0.9459459459459459}^{8-1}=37\cdot {0.9459459459459459}^7=37\cdot 0.6777417535403871=25.076444880994323$$

$$a_9=a_1·r^{n-1}=37\cdot {0.9459459459459459}^{9-1}=37\cdot {0.9459459459459459}^8=37\cdot 0.6411070641598257=23.72096137391355$$

$$a_{10}=a_1·r^{n-1}=37\cdot {0.9459459459459459}^{10-1}=37\cdot {0.9459459459459459}^9=37\cdot 0.6064526282592946=22.4387472455939$$