সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=65$$ এবং সাধারণ অনুপাত: $$r=24.615384615384617$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=65$$

$$a_2=a_1·r^{n-1}=65\cdot {24.615384615384617}^{2-1}=65\cdot {24.615384615384617}^1=65\cdot 24.615384615384617=1600$$

$$a_3=a_1·r^{n-1}=65\cdot {24.615384615384617}^{3-1}=65\cdot {24.615384615384617}^2=65\cdot 605.9171597633136=39384.61538461538$$

$$a_4=a_1·r^{n-1}=65\cdot {24.615384615384617}^{4-1}=65\cdot {24.615384615384617}^3=65\cdot 14914.883932635414=969467.4556213019$$

$$a_5=a_1·r^{n-1}=65\cdot {24.615384615384617}^{5-1}=65\cdot {24.615384615384617}^4=65\cdot 367135.604495641=23863814.292216666$$

$$a_6=a_1·r^{n-1}=65\cdot {24.615384615384617}^{6-1}=65\cdot {24.615384615384617}^5=65\cdot 9037184.110661933=587416967.1930257$$

$$a_7=a_1·r^{n-1}=65\cdot {24.615384615384617}^{7-1}=65\cdot {24.615384615384617}^6=65\cdot 222453762.72398606=14459494577.059093$$

$$a_8=a_1·r^{n-1}=65\cdot {24.615384615384617}^{8-1}=65\cdot {24.615384615384617}^7=65\cdot 5475784928.590426=355926020358.37775$$

$$a_9=a_1·r^{n-1}=65\cdot {24.615384615384617}^{9-1}=65\cdot {24.615384615384617}^8=65\cdot 134788552088.37973=8761255885744.683$$

$$a_{10}=a_1·r^{n-1}=65\cdot {24.615384615384617}^{10-1}=65\cdot {24.615384615384617}^9=65\cdot 3317872051406.2705=215661683341407.6$$