সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=63$$ এবং সাধারণ অনুপাত: $$r=1.5396825396825398$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=63$$

$$a_2=a_1·r^{n-1}=63\cdot {1.5396825396825398}^{2-1}=63\cdot {1.5396825396825398}^1=63\cdot 1.5396825396825398=97$$

$$a_3=a_1·r^{n-1}=63\cdot {1.5396825396825398}^{3-1}=63\cdot {1.5396825396825398}^2=63\cdot 2.3706223230032757=149.34920634920636$$

$$a_4=a_1·r^{n-1}=63\cdot {1.5396825396825398}^{4-1}=63\cdot {1.5396825396825398}^3=63\cdot 3.6500057989098056=229.95036533131776$$

$$a_5=a_1·r^{n-1}=63\cdot {1.5396825396825398}^{5-1}=63\cdot {1.5396825396825398}^4=63\cdot 5.619850198321447=354.05056249425115$$

$$a_6=a_1·r^{n-1}=63\cdot {1.5396825396825398}^{6-1}=63\cdot {1.5396825396825398}^5=63\cdot 8.65278522598699=545.1254692371804$$

$$a_7=a_1·r^{n-1}=63\cdot {1.5396825396825398}^{7-1}=63\cdot {1.5396825396825398}^6=63\cdot 13.322542332075209=839.3201669207382$$

$$a_8=a_1·r^{n-1}=63\cdot {1.5396825396825398}^{8-1}=63\cdot {1.5396825396825398}^7=63\cdot 20.512485812877703=1292.2866062112953$$

$$a_9=a_1·r^{n-1}=63\cdot {1.5396825396825398}^{9-1}=63\cdot {1.5396825396825398}^8=63\cdot 31.582716251573608=1989.7111238491373$$

$$a_{10}=a_1·r^{n-1}=63\cdot {1.5396825396825398}^{10-1}=63\cdot {1.5396825396825398}^9=63\cdot 48.627356768295876=3063.52347640264$$