పరిష్కారం - జ్యామితీ నిర్ణయాలు

శ్రేణికి సామాన్య రూపాన్ని కనుగొనడానికి, మొదటి పదాన్ని: $$a=63$$ మరియు పునరావృత్తి అనుపాతాన్ని: $$r=0.4444444444444444$$ జామితీయ శ్రేణుల సూత్రానికి ప్లగ్ చేయండి:

$$a_1=63$$

$$a_2=a_1·r^{n-1}=63\cdot {0.4444444444444444}^{2-1}=63\cdot {0.4444444444444444}^1=63\cdot 0.4444444444444444=28$$

$$a_3=a_1·r^{n-1}=63\cdot {0.4444444444444444}^{3-1}=63\cdot {0.4444444444444444}^2=63\cdot 0.19753086419753085=12.444444444444443$$

$$a_4=a_1·r^{n-1}=63\cdot {0.4444444444444444}^{4-1}=63\cdot {0.4444444444444444}^3=63\cdot 0.08779149519890259=5.530864197530863$$

$$a_5=a_1·r^{n-1}=63\cdot {0.4444444444444444}^{5-1}=63\cdot {0.4444444444444444}^4=63\cdot 0.039018442310623375=2.4581618655692727$$

$$a_6=a_1·r^{n-1}=63\cdot {0.4444444444444444}^{6-1}=63\cdot {0.4444444444444444}^5=63\cdot 0.01734152991583261=1.0925163846974544$$

$$a_7=a_1·r^{n-1}=63\cdot {0.4444444444444444}^{7-1}=63\cdot {0.4444444444444444}^6=63\cdot 0.007707346629258937=0.48556283764331304$$

$$a_8=a_1·r^{n-1}=63\cdot {0.4444444444444444}^{8-1}=63\cdot {0.4444444444444444}^7=63\cdot 0.0034254873907817495=0.21580570561925022$$

$$a_9=a_1·r^{n-1}=63\cdot {0.4444444444444444}^{9-1}=63\cdot {0.4444444444444444}^8=63\cdot 0.001522438840347444=0.09591364694188897$$

$$a_{10}=a_1·r^{n-1}=63\cdot {0.4444444444444444}^{10-1}=63\cdot {0.4444444444444444}^9=63\cdot 0.000676639484598864=0.042628287529728436$$