పరిష్కారం - జ్యామితీ నిర్ణయాలు

శ్రేణికి సామాన్య రూపాన్ని కనుగొనడానికి, మొదటి పదాన్ని: $$a=90$$ మరియు పునరావృత్తి అనుపాతాన్ని: $$r=1.9444444444444444$$ జామితీయ శ్రేణుల సూత్రానికి ప్లగ్ చేయండి:

$$a_1=90$$

$$a_2=a_1·r^{n-1}=90\cdot {1.9444444444444444}^{2-1}=90\cdot {1.9444444444444444}^1=90\cdot 1.9444444444444444=175$$

$$a_3=a_1·r^{n-1}=90\cdot {1.9444444444444444}^{3-1}=90\cdot {1.9444444444444444}^2=90\cdot 3.780864197530864=340.27777777777777$$

$$a_4=a_1·r^{n-1}=90\cdot {1.9444444444444444}^{4-1}=90\cdot {1.9444444444444444}^3=90\cdot 7.351680384087791=661.6512345679012$$

$$a_5=a_1·r^{n-1}=90\cdot {1.9444444444444444}^{5-1}=90\cdot {1.9444444444444444}^4=90\cdot 14.294934080170705=1286.5440672153634$$

$$a_6=a_1·r^{n-1}=90\cdot {1.9444444444444444}^{6-1}=90\cdot {1.9444444444444444}^5=90\cdot 27.795705155887482=2501.6134640298733$$

$$a_7=a_1·r^{n-1}=90\cdot {1.9444444444444444}^{7-1}=90\cdot {1.9444444444444444}^6=90\cdot 54.047204469781214=4864.248402280309$$

$$a_8=a_1·r^{n-1}=90\cdot {1.9444444444444444}^{8-1}=90\cdot {1.9444444444444444}^7=90\cdot 105.09178646901903=9458.260782211712$$

$$a_9=a_1·r^{n-1}=90\cdot {1.9444444444444444}^{9-1}=90\cdot {1.9444444444444444}^8=90\cdot 204.34514035642587=18391.062632078327$$

$$a_{10}=a_1·r^{n-1}=90\cdot {1.9444444444444444}^{10-1}=90\cdot {1.9444444444444444}^9=90\cdot 397.3377729152725=35760.39956237453$$