সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=113$$ এবং সাধারণ অনুপাত: $$r=3.6194690265486726$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=113$$

$$a_2=a_1·r^{n-1}=113\cdot {3.6194690265486726}^{2-1}=113\cdot {3.6194690265486726}^1=113\cdot 3.6194690265486726=409$$

$$a_3=a_1·r^{n-1}=113\cdot {3.6194690265486726}^{3-1}=113\cdot {3.6194690265486726}^2=113\cdot 13.100556034145196=1480.3628318584072$$

$$a_4=a_1·r^{n-1}=113\cdot {3.6194690265486726}^{4-1}=113\cdot {3.6194690265486726}^3=113\cdot 47.41705679615385=5358.127417965386$$

$$a_5=a_1·r^{n-1}=113\cdot {3.6194690265486726}^{5-1}=113\cdot {3.6194690265486726}^4=113\cdot 171.6245684037781=19393.576229626928$$

$$a_6=a_1·r^{n-1}=113\cdot {3.6194690265486726}^{6-1}=113\cdot {3.6194690265486726}^5=113\cdot 621.1898095322588=70194.44847714524$$

$$a_7=a_1·r^{n-1}=113\cdot {3.6194690265486726}^{7-1}=113\cdot {3.6194690265486726}^6=113\cdot 2248.37727520968=254066.63209869387$$

$$a_8=a_1·r^{n-1}=113\cdot {3.6194690265486726}^{8-1}=113\cdot {3.6194690265486726}^7=113\cdot 8137.931907617338=919586.3055607592$$

$$a_9=a_1·r^{n-1}=113\cdot {3.6194690265486726}^{9-1}=113\cdot {3.6194690265486726}^8=113\cdot 29454.992479783108=3328414.150215491$$

$$a_{10}=a_1·r^{n-1}=113\cdot {3.6194690265486726}^{10-1}=113\cdot {3.6194690265486726}^9=113\cdot 106611.43295779904=12047091.924231293$$