সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=5$$ এবং সাধারণ অনুপাত: $$r=16.6$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=5$$

$$a_2=a_1·r^{n-1}=5\cdot {16.6}^{2-1}=5\cdot {16.6}^1=5\cdot 16.6=83$$

$$a_3=a_1·r^{n-1}=5\cdot {16.6}^{3-1}=5\cdot {16.6}^2=5\cdot 275.56000000000006=1377.8000000000002$$

$$a_4=a_1·r^{n-1}=5\cdot {16.6}^{4-1}=5\cdot {16.6}^3=5\cdot 4574.296000000001=22871.480000000007$$

$$a_5=a_1·r^{n-1}=5\cdot {16.6}^{5-1}=5\cdot {16.6}^4=5\cdot 75933.31360000002=379666.5680000001$$

$$a_6=a_1·r^{n-1}=5\cdot {16.6}^{6-1}=5\cdot {16.6}^5=5\cdot 1260493.0057600006=6302465.028800003$$

$$a_7=a_1·r^{n-1}=5\cdot {16.6}^{7-1}=5\cdot {16.6}^6=5\cdot 20924183.89561601=104620919.47808005$$

$$a_8=a_1·r^{n-1}=5\cdot {16.6}^{8-1}=5\cdot {16.6}^7=5\cdot 347341452.66722584=1736707263.3361292$$

$$a_9=a_1·r^{n-1}=5\cdot {16.6}^{9-1}=5\cdot {16.6}^8=5\cdot 5765868114.275949=28829340571.37974$$

$$a_{10}=a_1·r^{n-1}=5\cdot {16.6}^{10-1}=5\cdot {16.6}^9=5\cdot 95713410696.98076=478567053484.9038$$