పరిష్కారం - జ్యామితీ నిర్ణయాలు

శ్రేణికి సామాన్య రూపాన్ని కనుగొనడానికి, మొదటి పదాన్ని: $$a=36$$ మరియు పునరావృత్తి అనుపాతాన్ని: $$r=0.3888888888888889$$ జామితీయ శ్రేణుల సూత్రానికి ప్లగ్ చేయండి:

$$a_1=36$$

$$a_2=a_1·r^{n-1}=36\cdot {0.3888888888888889}^{2-1}=36\cdot {0.3888888888888889}^1=36\cdot 0.3888888888888889=14$$

$$a_3=a_1·r^{n-1}=36\cdot {0.3888888888888889}^{3-1}=36\cdot {0.3888888888888889}^2=36\cdot 0.15123456790123457=5.444444444444445$$

$$a_4=a_1·r^{n-1}=36\cdot {0.3888888888888889}^{4-1}=36\cdot {0.3888888888888889}^3=36\cdot 0.05881344307270234=2.117283950617284$$

$$a_5=a_1·r^{n-1}=36\cdot {0.3888888888888889}^{5-1}=36\cdot {0.3888888888888889}^4=36\cdot 0.02287189452827313=0.8233882030178327$$

$$a_6=a_1·r^{n-1}=36\cdot {0.3888888888888889}^{6-1}=36\cdot {0.3888888888888889}^5=36\cdot 0.008894625649883995=0.32020652339582384$$

$$a_7=a_1·r^{n-1}=36\cdot {0.3888888888888889}^{7-1}=36\cdot {0.3888888888888889}^6=36\cdot 0.003459021086065998=0.12452475909837593$$

$$a_8=a_1·r^{n-1}=36\cdot {0.3888888888888889}^{8-1}=36\cdot {0.3888888888888889}^7=36\cdot 0.0013451748668034439=0.04842629520492398$$

$$a_9=a_1·r^{n-1}=36\cdot {0.3888888888888889}^{9-1}=36\cdot {0.3888888888888889}^8=36\cdot 0.0005231235593124503=0.01883244813524821$$

$$a_{10}=a_1·r^{n-1}=36\cdot {0.3888888888888889}^{10-1}=36\cdot {0.3888888888888889}^9=36\cdot 0.00020343693973261958=0.007323729830374305$$