সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=88$$ এবং সাধারণ অনুপাত: $$r=0.03409090909090909$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=88$$

$$a_2=a_1·r^{n-1}=88\cdot {0.03409090909090909}^{2-1}=88\cdot {0.03409090909090909}^1=88\cdot 0.03409090909090909=3$$

$$a_3=a_1·r^{n-1}=88\cdot {0.03409090909090909}^{3-1}=88\cdot {0.03409090909090909}^2=88\cdot 0.001162190082644628=0.10227272727272725$$

$$a_4=a_1·r^{n-1}=88\cdot {0.03409090909090909}^{4-1}=88\cdot {0.03409090909090909}^3=88\cdot 3.962011645379413E-05=0.003486570247933883$$

$$a_5=a_1·r^{n-1}=88\cdot {0.03409090909090909}^{5-1}=88\cdot {0.03409090909090909}^4=88\cdot 1.3506857881975272E-06=0.00011886034936138239$$

$$a_6=a_1·r^{n-1}=88\cdot {0.03409090909090909}^{6-1}=88\cdot {0.03409090909090909}^5=88\cdot 4.604610641582478E-08=4.0520573645925805E-06$$

$$a_7=a_1·r^{n-1}=88\cdot {0.03409090909090909}^{7-1}=88\cdot {0.03409090909090909}^6=88\cdot 1.5697536278122083E-09=1.3813831924747434E-07$$

$$a_8=a_1·r^{n-1}=88\cdot {0.03409090909090909}^{8-1}=88\cdot {0.03409090909090909}^7=88\cdot 5.351432822087074E-11=4.7092608834366246E-09$$

$$a_9=a_1·r^{n-1}=88\cdot {0.03409090909090909}^{9-1}=88\cdot {0.03409090909090909}^8=88\cdot 1.824352098438775E-12=1.605429846626122E-10$$

$$a_{10}=a_1·r^{n-1}=88\cdot {0.03409090909090909}^{10-1}=88\cdot {0.03409090909090909}^9=88\cdot 6.219382153768551E-14=5.473056295316325E-12$$