সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=33,220$$ এবং সাধারণ অনুপাত: $$r=0.010204695966285371$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=33220$$

$$a_2=a_1·r^{n-1}=33220\cdot {0.010204695966285371}^{2-1}=33220\cdot {0.010204695966285371}^1=33220\cdot 0.010204695966285371=339$$

$$a_3=a_1·r^{n-1}=33220\cdot {0.010204695966285371}^{3-1}=33220\cdot {0.010204695966285371}^2=33220\cdot 0.00010413581976432092=3.459391932570741$$

$$a_4=a_1·r^{n-1}=33220\cdot {0.010204695966285371}^{4-1}=33220\cdot {0.010204695966285371}^3=33220\cdot 1.062674379894786E-06=0.035302042900104795$$

$$a_5=a_1·r^{n-1}=33220\cdot {0.010204695966285371}^{5-1}=33220\cdot {0.010204695966285371}^4=33220\cdot 1.0844268957987132E-08=0.00036024661478433254$$

$$a_6=a_1·r^{n-1}=33220\cdot {0.010204695966285371}^{6-1}=33220\cdot {0.010204695966285371}^5=33220\cdot 1.1066246769288494E-10=3.6762071767576378E-06$$

$$a_7=a_1·r^{n-1}=33220\cdot {0.010204695966285371}^{7-1}=33220\cdot {0.010204695966285371}^6=33220\cdot 1.1292768376847682E-12=3.7514576547888E-08$$

$$a_8=a_1·r^{n-1}=33220\cdot {0.010204695966285371}^{8-1}=33220\cdot {0.010204695966285371}^7=33220\cdot 1.1523926790341253E-14=3.8282484797513643E-10$$

$$a_9=a_1·r^{n-1}=33220\cdot {0.010204695966285371}^{9-1}=33220\cdot {0.010204695966285371}^8=33220\cdot 1.1759816923316331E-16=3.9066111819256855E-12$$

$$a_{10}=a_1·r^{n-1}=33220\cdot {0.010204695966285371}^{10-1}=33220\cdot {0.010204695966285371}^9=33220\cdot 1.200053563216206E-18=3.9865779370042364E-14$$