সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=276$$ এবং সাধারণ অনুপাত: $$r=13.26086956521739$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=276$$

$$a_2=a_1·r^{n-1}=276\cdot {13.26086956521739}^{2-1}=276\cdot {13.26086956521739}^1=276\cdot 13.26086956521739=3660$$

$$a_3=a_1·r^{n-1}=276\cdot {13.26086956521739}^{3-1}=276\cdot {13.26086956521739}^2=276\cdot 175.85066162570888=48534.78260869565$$

$$a_4=a_1·r^{n-1}=276\cdot {13.26086956521739}^{4-1}=276\cdot {13.26086956521739}^3=276\cdot 2331.9326867757045=643613.4215500944$$

$$a_5=a_1·r^{n-1}=276\cdot {13.26086956521739}^{5-1}=276\cdot {13.26086956521739}^4=276\cdot 30923.455194199556=8534873.633599078$$

$$a_6=a_1·r^{n-1}=276\cdot {13.26086956521739}^{6-1}=276\cdot {13.26086956521739}^5=276\cdot 410071.90583612456=113179846.01077038$$

$$a_7=a_1·r^{n-1}=276\cdot {13.26086956521739}^{7-1}=276\cdot {13.26086956521739}^6=276\cdot 5437910.055652956=1500863175.3602157$$

$$a_8=a_1·r^{n-1}=276\cdot {13.26086956521739}^{8-1}=276\cdot {13.26086956521739}^7=276\cdot 72111415.95539789=19902750803.689816$$

$$a_9=a_1·r^{n-1}=276\cdot {13.26086956521739}^{9-1}=276\cdot {13.26086956521739}^8=276\cdot 956260081.1476676=263927782396.75626$$

$$a_{10}=a_1·r^{n-1}=276\cdot {13.26086956521739}^{10-1}=276\cdot {13.26086956521739}^9=276\cdot 12680840206.523418=3499911897000.4634$$