పరిష్కారం - జ్యామితీ నిర్ణయాలు

శ్రేణికి సామాన్య రూపాన్ని కనుగొనడానికి, మొదటి పదాన్ని: $$a=1,350$$ మరియు పునరావృత్తి అనుపాతాన్ని: $$r=0.4444444444444444$$ జామితీయ శ్రేణుల సూత్రానికి ప్లగ్ చేయండి:

$$a_1=1350$$

$$a_2=a_1·r^{n-1}=1350\cdot {0.4444444444444444}^{2-1}=1350\cdot {0.4444444444444444}^1=1350\cdot 0.4444444444444444=600$$

$$a_3=a_1·r^{n-1}=1350\cdot {0.4444444444444444}^{3-1}=1350\cdot {0.4444444444444444}^2=1350\cdot 0.19753086419753085=266.66666666666663$$

$$a_4=a_1·r^{n-1}=1350\cdot {0.4444444444444444}^{4-1}=1350\cdot {0.4444444444444444}^3=1350\cdot 0.08779149519890259=118.51851851851849$$

$$a_5=a_1·r^{n-1}=1350\cdot {0.4444444444444444}^{5-1}=1350\cdot {0.4444444444444444}^4=1350\cdot 0.039018442310623375=52.67489711934156$$

$$a_6=a_1·r^{n-1}=1350\cdot {0.4444444444444444}^{6-1}=1350\cdot {0.4444444444444444}^5=1350\cdot 0.01734152991583261=23.411065386374023$$

$$a_7=a_1·r^{n-1}=1350\cdot {0.4444444444444444}^{7-1}=1350\cdot {0.4444444444444444}^6=1350\cdot 0.007707346629258937=10.404917949499565$$

$$a_8=a_1·r^{n-1}=1350\cdot {0.4444444444444444}^{8-1}=1350\cdot {0.4444444444444444}^7=1350\cdot 0.0034254873907817495=4.624407977555362$$

$$a_9=a_1·r^{n-1}=1350\cdot {0.4444444444444444}^{9-1}=1350\cdot {0.4444444444444444}^8=1350\cdot 0.001522438840347444=2.0552924344690493$$

$$a_{10}=a_1·r^{n-1}=1350\cdot {0.4444444444444444}^{10-1}=1350\cdot {0.4444444444444444}^9=1350\cdot 0.000676639484598864=0.9134633042084664$$