সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=65$$ এবং সাধারণ অনুপাত: $$r=11301.615384615385$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=65$$

$$a_2=a_1·r^{n-1}=65\cdot {11301.615384615385}^{2-1}=65\cdot {11301.615384615385}^1=65\cdot 11301.615384615385=734605$$

$$a_3=a_1·r^{n-1}=65\cdot {11301.615384615385}^{3-1}=65\cdot {11301.615384615385}^2=65\cdot 127726510.30177516=8302223169.615385$$

$$a_4=a_1·r^{n-1}=65\cdot {11301.615384615385}^{4-1}=65\cdot {11301.615384615385}^3=65\cdot 1443515893849.7776=93828533100235.55$$

$$a_5=a_1·r^{n-1}=65\cdot {11301.615384615385}^{5-1}=65\cdot {11301.615384615385}^4=65\cdot 16314061433869474=1.0604139932015158E+18$$

$$a_6=a_1·r^{n-1}=65\cdot {11301.615384615385}^{6-1}=65\cdot {11301.615384615385}^5=65\cdot 1.8437524768657978E+20=1.1984391099627686E+22$$

$$a_7=a_1·r^{n-1}=65\cdot {11301.615384615385}^{7-1}=65\cdot {11301.615384615385}^6=65\cdot 2.083738135796922E+24=1.3544297882679993E+26$$

$$a_8=a_1·r^{n-1}=65\cdot {11301.615384615385}^{8-1}=65\cdot {11301.615384615385}^7=65\cdot 2.3549606973032275E+28=1.5307244532470977E+30$$

$$a_9=a_1·r^{n-1}=65\cdot {11301.615384615385}^{9-1}=65\cdot {11301.615384615385}^8=65\cdot 2.661486004680673E+32=1.7299659030424375E+34$$

$$a_{10}=a_1·r^{n-1}=65\cdot {11301.615384615385}^{10-1}=65\cdot {11301.615384615385}^9=65\cdot 3.007909117643763E+36=1.955140926468446E+38$$