সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=1,234$$ এবং সাধারণ অনুপাত: $$r=0.004051863857374392$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=1234$$

$$a_2=a_1·r^{n-1}=1234\cdot {0.004051863857374392}^{2-1}=1234\cdot {0.004051863857374392}^1=1234\cdot 0.004051863857374392=5$$

$$a_3=a_1·r^{n-1}=1234\cdot {0.004051863857374392}^{3-1}=1234\cdot {0.004051863857374392}^2=1234\cdot 1.641760071869689E-05=0.02025931928687196$$

$$a_4=a_1·r^{n-1}=1234\cdot {0.004051863857374392}^{4-1}=1234\cdot {0.004051863857374392}^3=1234\cdot 6.652188297689177E-08=8.208800359348444E-05$$

$$a_5=a_1·r^{n-1}=1234\cdot {0.004051863857374392}^{5-1}=1234\cdot {0.004051863857374392}^4=1234\cdot 2.695376133585566E-10=3.3260941488445884E-07$$

$$a_6=a_1·r^{n-1}=1234\cdot {0.004051863857374392}^{6-1}=1234\cdot {0.004051863857374392}^5=1234\cdot 1.0921297137704886E-12=1.347688066792783E-09$$

$$a_7=a_1·r^{n-1}=1234\cdot {0.004051863857374392}^{7-1}=1234\cdot {0.004051863857374392}^6=1234\cdot 4.4251609147912825E-15=5.460648568852442E-12$$

$$a_8=a_1·r^{n-1}=1234\cdot {0.004051863857374392}^{8-1}=1234\cdot {0.004051863857374392}^7=1234\cdot 1.79301495737086E-17=2.212580457395641E-14$$

$$a_9=a_1·r^{n-1}=1234\cdot {0.004051863857374392}^{9-1}=1234\cdot {0.004051863857374392}^8=1234\cdot 7.265052501502674E-20=8.9650747868543E-17$$

$$a_{10}=a_1·r^{n-1}=1234\cdot {0.004051863857374392}^{10-1}=1234\cdot {0.004051863857374392}^9=1234\cdot 2.94370036527661E-22=3.632526250751337E-19$$