সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=65$$ এবং সাধারণ অনুপাত: $$r=1.0153846153846153$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=65$$

$$a_2=a_1·r^{n-1}=65\cdot {1.0153846153846153}^{2-1}=65\cdot {1.0153846153846153}^1=65\cdot 1.0153846153846153=66$$

$$a_3=a_1·r^{n-1}=65\cdot {1.0153846153846153}^{3-1}=65\cdot {1.0153846153846153}^2=65\cdot 1.0310059171597632=67.0153846153846$$

$$a_4=a_1·r^{n-1}=65\cdot {1.0153846153846153}^{4-1}=65\cdot {1.0153846153846153}^3=65\cdot 1.0468675466545287=68.04639053254436$$

$$a_5=a_1·r^{n-1}=65\cdot {1.0153846153846153}^{5-1}=65\cdot {1.0153846153846153}^4=65\cdot 1.0629732012184445=69.09325807919889$$

$$a_6=a_1·r^{n-1}=65\cdot {1.0153846153846153}^{6-1}=65\cdot {1.0153846153846153}^5=65\cdot 1.0793266350833437=70.15623128041734$$

$$a_7=a_1·r^{n-1}=65\cdot {1.0153846153846153}^{7-1}=65\cdot {1.0153846153846153}^6=65\cdot 1.0959316602384719=71.23555791550068$$

$$a_8=a_1·r^{n-1}=65\cdot {1.0153846153846153}^{8-1}=65\cdot {1.0153846153846153}^7=65\cdot 1.1127921473190636=72.33148957573914$$

$$a_9=a_1·r^{n-1}=65\cdot {1.0153846153846153}^{9-1}=65\cdot {1.0153846153846153}^8=65\cdot 1.1299120265085878=73.44428172305821$$

$$a_{10}=a_1·r^{n-1}=65\cdot {1.0153846153846153}^{10-1}=65\cdot {1.0153846153846153}^9=65\cdot 1.1472952884548737=74.57419374956679$$