সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=10$$ এবং সাধারণ অনুপাত: $$r=645.6$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=10$$

$$a_2=a_1·r^{n-1}=10\cdot {645.6}^{2-1}=10\cdot {645.6}^1=10\cdot 645.6=6456$$

$$a_3=a_1·r^{n-1}=10\cdot {645.6}^{3-1}=10\cdot {645.6}^2=10\cdot 416799.36000000004=4167993.6000000006$$

$$a_4=a_1·r^{n-1}=10\cdot {645.6}^{4-1}=10\cdot {645.6}^3=10\cdot 269085666.81600004=2690856668.1600003$$

$$a_5=a_1·r^{n-1}=10\cdot {645.6}^{5-1}=10\cdot {645.6}^4=10\cdot 173721706496.40964=1737217064964.0964$$

$$a_6=a_1·r^{n-1}=10\cdot {645.6}^{6-1}=10\cdot {645.6}^5=10\cdot 112154733714082.06=1121547337140820.6$$

$$a_7=a_1·r^{n-1}=10\cdot {645.6}^{7-1}=10\cdot {645.6}^6=10\cdot 72407096085811380=7.240709608581138E+17$$

$$a_8=a_1·r^{n-1}=10\cdot {645.6}^{8-1}=10\cdot {645.6}^7=10\cdot 4.6746021232999825E+19=4.6746021232999825E+20$$

$$a_9=a_1·r^{n-1}=10\cdot {645.6}^{9-1}=10\cdot {645.6}^8=10\cdot 3.017923130802469E+22=3.017923130802469E+23$$

$$a_{10}=a_1·r^{n-1}=10\cdot {645.6}^{10-1}=10\cdot {645.6}^9=10\cdot 1.9483711732460742E+25=1.9483711732460744E+26$$