పరిష్కారం - జ్యామితీ నిర్ణయాలు

శ్రేణికి సామాన్య రూపాన్ని కనుగొనడానికి, మొదటి పదాన్ని: $$a=180$$ మరియు పునరావృత్తి అనుపాతాన్ని: $$r=0.6944444444444444$$ జామితీయ శ్రేణుల సూత్రానికి ప్లగ్ చేయండి:

$$a_1=180$$

$$a_2=a_1·r^{n-1}=180\cdot {0.6944444444444444}^{2-1}=180\cdot {0.6944444444444444}^1=180\cdot 0.6944444444444444=125$$

$$a_3=a_1·r^{n-1}=180\cdot {0.6944444444444444}^{3-1}=180\cdot {0.6944444444444444}^2=180\cdot 0.48225308641975306=86.80555555555556$$

$$a_4=a_1·r^{n-1}=180\cdot {0.6944444444444444}^{4-1}=180\cdot {0.6944444444444444}^3=180\cdot 0.33489797668038407=60.28163580246913$$

$$a_5=a_1·r^{n-1}=180\cdot {0.6944444444444444}^{5-1}=180\cdot {0.6944444444444444}^4=180\cdot 0.2325680393613778=41.862247085048004$$

$$a_6=a_1·r^{n-1}=180\cdot {0.6944444444444444}^{6-1}=180\cdot {0.6944444444444444}^5=180\cdot 0.1615055828898457=29.07100492017223$$

$$a_7=a_1·r^{n-1}=180\cdot {0.6944444444444444}^{7-1}=180\cdot {0.6944444444444444}^6=180\cdot 0.11215665478461506=20.188197861230712$$

$$a_8=a_1·r^{n-1}=180\cdot {0.6944444444444444}^{8-1}=180\cdot {0.6944444444444444}^7=180\cdot 0.07788656582264934=14.019581848076882$$

$$a_9=a_1·r^{n-1}=180\cdot {0.6944444444444444}^{9-1}=180\cdot {0.6944444444444444}^8=180\cdot 0.054087892932395375=9.735820727831168$$

$$a_{10}=a_1·r^{n-1}=180\cdot {0.6944444444444444}^{10-1}=180\cdot {0.6944444444444444}^9=180\cdot 0.0375610367586079=6.760986616549421$$