সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=34$$ এবং সাধারণ অনুপাত: $$r=0.8235294117647058$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=34$$

$$a_2=a_1·r^{n-1}=34\cdot {0.8235294117647058}^{2-1}=34\cdot {0.8235294117647058}^1=34\cdot 0.8235294117647058=28$$

$$a_3=a_1·r^{n-1}=34\cdot {0.8235294117647058}^{3-1}=34\cdot {0.8235294117647058}^2=34\cdot 0.6782006920415224=23.058823529411764$$

$$a_4=a_1·r^{n-1}=34\cdot {0.8235294117647058}^{4-1}=34\cdot {0.8235294117647058}^3=34\cdot 0.5585182169753714=18.98961937716263$$

$$a_5=a_1·r^{n-1}=34\cdot {0.8235294117647058}^{5-1}=34\cdot {0.8235294117647058}^4=34\cdot 0.45995617868559996=15.638510075310398$$

$$a_6=a_1·r^{n-1}=34\cdot {0.8235294117647058}^{6-1}=34\cdot {0.8235294117647058}^5=34\cdot 0.3787874412704941=12.878773003196798$$

$$a_7=a_1·r^{n-1}=34\cdot {0.8235294117647058}^{7-1}=34\cdot {0.8235294117647058}^6=34\cdot 0.311942598693348=10.606048355573833$$

$$a_8=a_1·r^{n-1}=34\cdot {0.8235294117647058}^{8-1}=34\cdot {0.8235294117647058}^7=34\cdot 0.2568939048062866=8.734392763413744$$

$$a_9=a_1·r^{n-1}=34\cdot {0.8235294117647058}^{9-1}=34\cdot {0.8235294117647058}^8=34\cdot 0.21155968631105954=7.193029334576024$$

$$a_{10}=a_1·r^{n-1}=34\cdot {0.8235294117647058}^{10-1}=34\cdot {0.8235294117647058}^9=34\cdot 0.17422562402087255=5.923671216709667$$