పరిష్కారం - జ్యామితీ నిర్ణయాలు

శ్రేణికి సామాన్య రూపాన్ని కనుగొనడానికి, మొదటి పదాన్ని: $$a=36$$ మరియు పునరావృత్తి అనుపాతాన్ని: $$r=0.9444444444444444$$ జామితీయ శ్రేణుల సూత్రానికి ప్లగ్ చేయండి:

$$a_1=36$$

$$a_2=a_1·r^{n-1}=36\cdot {0.9444444444444444}^{2-1}=36\cdot {0.9444444444444444}^1=36\cdot 0.9444444444444444=34$$

$$a_3=a_1·r^{n-1}=36\cdot {0.9444444444444444}^{3-1}=36\cdot {0.9444444444444444}^2=36\cdot 0.8919753086419753=32.11111111111111$$

$$a_4=a_1·r^{n-1}=36\cdot {0.9444444444444444}^{4-1}=36\cdot {0.9444444444444444}^3=36\cdot 0.8424211248285322=30.327160493827158$$

$$a_5=a_1·r^{n-1}=36\cdot {0.9444444444444444}^{5-1}=36\cdot {0.9444444444444444}^4=36\cdot 0.7956199512269471=28.642318244170095$$

$$a_6=a_1·r^{n-1}=36\cdot {0.9444444444444444}^{6-1}=36\cdot {0.9444444444444444}^5=36\cdot 0.7514188428254499=27.051078341716195$$

$$a_7=a_1·r^{n-1}=36\cdot {0.9444444444444444}^{7-1}=36\cdot {0.9444444444444444}^6=36\cdot 0.7096733515573693=25.548240656065296$$

$$a_8=a_1·r^{n-1}=36\cdot {0.9444444444444444}^{8-1}=36\cdot {0.9444444444444444}^7=36\cdot 0.6702470542486266=24.12889395295056$$

$$a_9=a_1·r^{n-1}=36\cdot {0.9444444444444444}^{9-1}=36\cdot {0.9444444444444444}^8=36\cdot 0.6330111067903695=22.788399844453302$$

$$a_{10}=a_1·r^{n-1}=36\cdot {0.9444444444444444}^{10-1}=36\cdot {0.9444444444444444}^9=36\cdot 0.5978438230797934=21.522377630872565$$