সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=108$$ এবং সাধারণ অনুপাত: $$r=0.018518518518518517$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=108$$

$$a_2=a_1·r^{n-1}=108\cdot {0.018518518518518517}^{2-1}=108\cdot {0.018518518518518517}^1=108\cdot 0.018518518518518517=2$$

$$a_3=a_1·r^{n-1}=108\cdot {0.018518518518518517}^{3-1}=108\cdot {0.018518518518518517}^2=108\cdot 0.0003429355281207133=0.037037037037037035$$

$$a_4=a_1·r^{n-1}=108\cdot {0.018518518518518517}^{4-1}=108\cdot {0.018518518518518517}^3=108\cdot 6.350657928161356E-06=0.0006858710562414265$$

$$a_5=a_1·r^{n-1}=108\cdot {0.018518518518518517}^{5-1}=108\cdot {0.018518518518518517}^4=108\cdot 1.1760477644743252E-07=1.2701315856322713E-05$$

$$a_6=a_1·r^{n-1}=108\cdot {0.018518518518518517}^{6-1}=108\cdot {0.018518518518518517}^5=108\cdot 2.1778662305080097E-09=2.3520955289486505E-07$$

$$a_7=a_1·r^{n-1}=108\cdot {0.018518518518518517}^{7-1}=108\cdot {0.018518518518518517}^6=108\cdot 4.033085612051869E-11=4.3557324610160185E-09$$

$$a_8=a_1·r^{n-1}=108\cdot {0.018518518518518517}^{8-1}=108\cdot {0.018518518518518517}^7=108\cdot 7.468677059355313E-13=8.066171224103738E-11$$

$$a_9=a_1·r^{n-1}=108\cdot {0.018518518518518517}^{9-1}=108\cdot {0.018518518518518517}^8=108\cdot 1.3830883443250578E-14=1.4937354118710625E-12$$

$$a_{10}=a_1·r^{n-1}=108\cdot {0.018518518518518517}^{10-1}=108\cdot {0.018518518518518517}^9=108\cdot 2.5612747117130703E-16=2.766176688650116E-14$$