সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=75$$ এবং সাধারণ অনুপাত: $$r=0.28$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=75$$

$$a_2=a_1·r^{n-1}=75\cdot {0.28}^{2-1}=75\cdot {0.28}^1=75\cdot 0.28=21.000000000000004$$

$$a_3=a_1·r^{n-1}=75\cdot {0.28}^{3-1}=75\cdot {0.28}^2=75\cdot 0.07840000000000001=5.880000000000001$$

$$a_4=a_1·r^{n-1}=75\cdot {0.28}^{4-1}=75\cdot {0.28}^3=75\cdot 0.021952000000000006=1.6464000000000005$$

$$a_5=a_1·r^{n-1}=75\cdot {0.28}^{5-1}=75\cdot {0.28}^4=75\cdot 0.006146560000000002=0.4609920000000002$$

$$a_6=a_1·r^{n-1}=75\cdot {0.28}^{6-1}=75\cdot {0.28}^5=75\cdot 0.0017210368000000007=0.12907776000000004$$

$$a_7=a_1·r^{n-1}=75\cdot {0.28}^{7-1}=75\cdot {0.28}^6=75\cdot 0.00048189030400000026=0.03614177280000002$$

$$a_8=a_1·r^{n-1}=75\cdot {0.28}^{8-1}=75\cdot {0.28}^7=75\cdot 0.0001349292851200001=0.010119696384000006$$

$$a_9=a_1·r^{n-1}=75\cdot {0.28}^{9-1}=75\cdot {0.28}^8=75\cdot 3.7780199833600026E-05=0.002833514987520002$$

$$a_{10}=a_1·r^{n-1}=75\cdot {0.28}^{10-1}=75\cdot {0.28}^9=75\cdot 1.057845595340801E-05=0.0007933841965056007$$