সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=59$$ এবং সাধারণ অনুপাত: $$r=1.4067796610169492$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=59$$

$$a_2=a_1·r^{n-1}=59\cdot {1.4067796610169492}^{2-1}=59\cdot {1.4067796610169492}^1=59\cdot 1.4067796610169492=83$$

$$a_3=a_1·r^{n-1}=59\cdot {1.4067796610169492}^{3-1}=59\cdot {1.4067796610169492}^2=59\cdot 1.9790290146509624=116.76271186440678$$

$$a_4=a_1·r^{n-1}=59\cdot {1.4067796610169492}^{4-1}=59\cdot {1.4067796610169492}^3=59\cdot 2.784057766373388=164.2594082160299$$

$$a_5=a_1·r^{n-1}=59\cdot {1.4067796610169492}^{5-1}=59\cdot {1.4067796610169492}^4=59\cdot 3.9165558408303593=231.0767946089912$$

$$a_6=a_1·r^{n-1}=59\cdot {1.4067796610169492}^{6-1}=59\cdot {1.4067796610169492}^5=59\cdot 5.509731098117285=325.0741347889198$$

$$a_7=a_1·r^{n-1}=59\cdot {1.4067796610169492}^{7-1}=59\cdot {1.4067796610169492}^6=59\cdot 7.750977646503977=457.30768114373467$$

$$a_8=a_1·r^{n-1}=59\cdot {1.4067796610169492}^{8-1}=59\cdot {1.4067796610169492}^7=59\cdot 10.903917706098817=643.3311446598302$$

$$a_9=a_1·r^{n-1}=59\cdot {1.4067796610169492}^{9-1}=59\cdot {1.4067796610169492}^8=59\cdot 15.339409654342402=905.0251696062018$$

$$a_{10}=a_1·r^{n-1}=59\cdot {1.4067796610169492}^{10-1}=59\cdot {1.4067796610169492}^9=59\cdot 21.579169513735923=1273.1710013104196$$