সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=78$$ এবং সাধারণ অনুপাত: $$r=0.01282051282051282$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=78$$

$$a_2=a_1·r^{n-1}=78\cdot {0.01282051282051282}^{2-1}=78\cdot {0.01282051282051282}^1=78\cdot 0.01282051282051282=1$$

$$a_3=a_1·r^{n-1}=78\cdot {0.01282051282051282}^{3-1}=78\cdot {0.01282051282051282}^2=78\cdot 0.00016436554898093358=0.012820512820512818$$

$$a_4=a_1·r^{n-1}=78\cdot {0.01282051282051282}^{4-1}=78\cdot {0.01282051282051282}^3=78\cdot 2.107250627960687E-06=0.00016436554898093358$$

$$a_5=a_1·r^{n-1}=78\cdot {0.01282051282051282}^{5-1}=78\cdot {0.01282051282051282}^4=78\cdot 2.7016033691803677E-08=2.107250627960687E-06$$

$$a_6=a_1·r^{n-1}=78\cdot {0.01282051282051282}^{6-1}=78\cdot {0.01282051282051282}^5=78\cdot 3.463594063051753E-10=2.7016033691803677E-08$$

$$a_7=a_1·r^{n-1}=78\cdot {0.01282051282051282}^{7-1}=78\cdot {0.01282051282051282}^6=78\cdot 4.440505209040709E-12=3.463594063051753E-10$$

$$a_8=a_1·r^{n-1}=78\cdot {0.01282051282051282}^{8-1}=78\cdot {0.01282051282051282}^7=78\cdot 5.692955396206038E-14=4.44050520904071E-12$$

$$a_9=a_1·r^{n-1}=78\cdot {0.01282051282051282}^{9-1}=78\cdot {0.01282051282051282}^8=78\cdot 7.298660764366714E-16=5.692955396206037E-14$$

$$a_{10}=a_1·r^{n-1}=78\cdot {0.01282051282051282}^{10-1}=78\cdot {0.01282051282051282}^9=78\cdot 9.357257390213737E-18=7.298660764366715E-16$$