పరిష్కారం - జ్యామితీ నిర్ణయాలు

శ్రేణికి సామాన్య రూపాన్ని కనుగొనడానికి, మొదటి పదాన్ని: $$a=360$$ మరియు పునరావృత్తి అనుపాతాన్ని: $$r=0.5444444444444444$$ జామితీయ శ్రేణుల సూత్రానికి ప్లగ్ చేయండి:

$$a_1=360$$

$$a_2=a_1·r^{n-1}=360\cdot {0.5444444444444444}^{2-1}=360\cdot {0.5444444444444444}^1=360\cdot 0.5444444444444444=195.99999999999997$$

$$a_3=a_1·r^{n-1}=360\cdot {0.5444444444444444}^{3-1}=360\cdot {0.5444444444444444}^2=360\cdot 0.2964197530864197=106.7111111111111$$

$$a_4=a_1·r^{n-1}=360\cdot {0.5444444444444444}^{4-1}=360\cdot {0.5444444444444444}^3=360\cdot 0.16138408779149516=58.098271604938255$$

$$a_5=a_1·r^{n-1}=360\cdot {0.5444444444444444}^{5-1}=360\cdot {0.5444444444444444}^4=360\cdot 0.08786467001981402=31.631281207133046$$

$$a_6=a_1·r^{n-1}=360\cdot {0.5444444444444444}^{6-1}=360\cdot {0.5444444444444444}^5=360\cdot 0.047837431455232074=17.221475323883546$$

$$a_7=a_1·r^{n-1}=360\cdot {0.5444444444444444}^{7-1}=360\cdot {0.5444444444444444}^6=360\cdot 0.026044823792293018=9.376136565225487$$

$$a_8=a_1·r^{n-1}=360\cdot {0.5444444444444444}^{8-1}=360\cdot {0.5444444444444444}^7=360\cdot 0.01417995962024842=5.1047854632894305$$

$$a_9=a_1·r^{n-1}=360\cdot {0.5444444444444444}^{9-1}=360\cdot {0.5444444444444444}^8=360\cdot 0.007720200237690805=2.77927208556869$$

$$a_{10}=a_1·r^{n-1}=360\cdot {0.5444444444444444}^{10-1}=360\cdot {0.5444444444444444}^9=360\cdot 0.004203220129409438=1.5131592465873975$$