সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=6,533$$ এবং সাধারণ অনুপাত: $$r=0.008571865911526099$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=6533$$

$$a_2=a_1·r^{n-1}=6533\cdot {0.008571865911526099}^{2-1}=6533\cdot {0.008571865911526099}^1=6533\cdot 0.008571865911526099=56.00000000000001$$

$$a_3=a_1·r^{n-1}=6533\cdot {0.008571865911526099}^{3-1}=6533\cdot {0.008571865911526099}^2=6533\cdot 7.347688520518316E-05=0.4800244910454616$$

$$a_4=a_1·r^{n-1}=6533\cdot {0.008571865911526099}^{4-1}=6533\cdot {0.008571865911526099}^3=6533\cdot 6.298340075754259E-07=0.004114705571490258$$

$$a_5=a_1·r^{n-1}=6533\cdot {0.008571865911526099}^{5-1}=6533\cdot {0.008571865911526099}^4=6533\cdot 5.398852659455664E-09=3.527070442422385E-05$$

$$a_6=a_1·r^{n-1}=6533\cdot {0.008571865911526099}^{6-1}=6533\cdot {0.008571865911526099}^5=6533\cdot 4.627824107294003E-11=3.023357489295172E-07$$

$$a_7=a_1·r^{n-1}=6533\cdot {0.008571865911526099}^{7-1}=6533\cdot {0.008571865911526099}^6=6533\cdot 3.9669087709852167E-13=2.591581500084642E-09$$

$$a_8=a_1·r^{n-1}=6533\cdot {0.008571865911526099}^{8-1}=6533\cdot {0.008571865911526099}^7=6533\cdot 3.400381006814207E-15=2.2214689117517213E-11$$

$$a_9=a_1·r^{n-1}=6533\cdot {0.008571865911526099}^{9-1}=6533\cdot {0.008571865911526099}^8=6533\cdot 2.9147610038511495E-17=1.904213363815956E-13$$

$$a_{10}=a_1·r^{n-1}=6533\cdot {0.008571865911526099}^{10-1}=6533\cdot {0.008571865911526099}^9=6533\cdot 2.4984940489157263E-19=1.632266162156644E-15$$