সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=15$$ এবং সাধারণ অনুপাত: $$r=6.6$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=15$$

$$a_2=a_1·r^{n-1}=15\cdot {6.6}^{2-1}=15\cdot {6.6}^1=15\cdot 6.6=99$$

$$a_3=a_1·r^{n-1}=15\cdot {6.6}^{3-1}=15\cdot {6.6}^2=15\cdot 43.559999999999995=653.4$$

$$a_4=a_1·r^{n-1}=15\cdot {6.6}^{4-1}=15\cdot {6.6}^3=15\cdot 287.496=4312.44$$

$$a_5=a_1·r^{n-1}=15\cdot {6.6}^{5-1}=15\cdot {6.6}^4=15\cdot 1897.4735999999996=28462.103999999992$$

$$a_6=a_1·r^{n-1}=15\cdot {6.6}^{6-1}=15\cdot {6.6}^5=15\cdot 12523.325759999996=187849.88639999993$$

$$a_7=a_1·r^{n-1}=15\cdot {6.6}^{7-1}=15\cdot {6.6}^6=15\cdot 82653.95001599997=1239809.2502399995$$

$$a_8=a_1·r^{n-1}=15\cdot {6.6}^{8-1}=15\cdot {6.6}^7=15\cdot 545516.0701055998=8182741.051583997$$

$$a_9=a_1·r^{n-1}=15\cdot {6.6}^{9-1}=15\cdot {6.6}^8=15\cdot 3600406.0626969584=54006090.94045438$$

$$a_{10}=a_1·r^{n-1}=15\cdot {6.6}^{10-1}=15\cdot {6.6}^9=15\cdot 23762680.013799924=356440200.2069989$$