সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=35$$ এবং সাধারণ অনুপাত: $$r=1.8$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=35$$

$$a_2=a_1·r^{n-1}=35\cdot {1.8}^{2-1}=35\cdot {1.8}^1=35\cdot 1.8=63$$

$$a_3=a_1·r^{n-1}=35\cdot {1.8}^{3-1}=35\cdot {1.8}^2=35\cdot 3.24=113.4$$

$$a_4=a_1·r^{n-1}=35\cdot {1.8}^{4-1}=35\cdot {1.8}^3=35\cdot 5.832000000000001=204.12000000000003$$

$$a_5=a_1·r^{n-1}=35\cdot {1.8}^{5-1}=35\cdot {1.8}^4=35\cdot 10.4976=367.416$$

$$a_6=a_1·r^{n-1}=35\cdot {1.8}^{6-1}=35\cdot {1.8}^5=35\cdot 18.895680000000002=661.3488000000001$$

$$a_7=a_1·r^{n-1}=35\cdot {1.8}^{7-1}=35\cdot {1.8}^6=35\cdot 34.012224=1190.42784$$

$$a_8=a_1·r^{n-1}=35\cdot {1.8}^{8-1}=35\cdot {1.8}^7=35\cdot 61.22200320000001=2142.770112$$

$$a_9=a_1·r^{n-1}=35\cdot {1.8}^{9-1}=35\cdot {1.8}^8=35\cdot 110.19960576000003=3856.986201600001$$

$$a_{10}=a_1·r^{n-1}=35\cdot {1.8}^{10-1}=35\cdot {1.8}^9=35\cdot 198.35929036800005=6942.575162880002$$