সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=88$$ এবং সাধারণ অনুপাত: $$r=0.8863636363636364$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=88$$

$$a_2=a_1·r^{n-1}=88\cdot {0.8863636363636364}^{2-1}=88\cdot {0.8863636363636364}^1=88\cdot 0.8863636363636364=78$$

$$a_3=a_1·r^{n-1}=88\cdot {0.8863636363636364}^{3-1}=88\cdot {0.8863636363636364}^2=88\cdot 0.7856404958677686=69.13636363636364$$

$$a_4=a_1·r^{n-1}=88\cdot {0.8863636363636364}^{4-1}=88\cdot {0.8863636363636364}^3=88\cdot 0.6963631667918858=61.279958677685954$$

$$a_5=a_1·r^{n-1}=88\cdot {0.8863636363636364}^{5-1}=88\cdot {0.8863636363636364}^4=88\cdot 0.6172309887473533=54.316327009767086$$

$$a_6=a_1·r^{n-1}=88\cdot {0.8863636363636364}^{6-1}=88\cdot {0.8863636363636364}^5=88\cdot 0.5470911036624267=48.144017122293555$$

$$a_7=a_1·r^{n-1}=88\cdot {0.8863636363636364}^{7-1}=88\cdot {0.8863636363636364}^6=88\cdot 0.4849216600644237=42.67310608566929$$

$$a_8=a_1·r^{n-1}=88\cdot {0.8863636363636364}^{8-1}=88\cdot {0.8863636363636364}^7=88\cdot 0.42981692596619375=37.82388948502505$$

$$a_9=a_1·r^{n-1}=88\cdot {0.8863636363636364}^{9-1}=88\cdot {0.8863636363636364}^8=88\cdot 0.38097409347003536=33.52572022536311$$

$$a_{10}=a_1·r^{n-1}=88\cdot {0.8863636363636364}^{10-1}=88\cdot {0.8863636363636364}^9=88\cdot 0.33768158284844046=29.715979290662762$$