పరిష్కారం - జ్యామితీ నిర్ణయాలు

శ్రేణికి సామాన్య రూపాన్ని కనుగొనడానికి, మొదటి పదాన్ని: $$a=7,200$$ మరియు పునరావృత్తి అనుపాతాన్ని: $$r=0.019444444444444445$$ జామితీయ శ్రేణుల సూత్రానికి ప్లగ్ చేయండి:

$$a_1=7200$$

$$a_2=a_1·r^{n-1}=7200\cdot {0.019444444444444445}^{2-1}=7200\cdot {0.019444444444444445}^1=7200\cdot 0.019444444444444445=140$$

$$a_3=a_1·r^{n-1}=7200\cdot {0.019444444444444445}^{3-1}=7200\cdot {0.019444444444444445}^2=7200\cdot 0.0003780864197530864=2.7222222222222223$$

$$a_4=a_1·r^{n-1}=7200\cdot {0.019444444444444445}^{4-1}=7200\cdot {0.019444444444444445}^3=7200\cdot 7.351680384087792E-06=0.0529320987654321$$

$$a_5=a_1·r^{n-1}=7200\cdot {0.019444444444444445}^{5-1}=7200\cdot {0.019444444444444445}^4=7200\cdot 1.4294934080170706E-07=0.0010292352537722908$$

$$a_6=a_1·r^{n-1}=7200\cdot {0.019444444444444445}^{6-1}=7200\cdot {0.019444444444444445}^5=7200\cdot 2.7795705155887484E-09=2.001290771223899E-05$$

$$a_7=a_1·r^{n-1}=7200\cdot {0.019444444444444445}^{7-1}=7200\cdot {0.019444444444444445}^6=7200\cdot 5.404720446978122E-11=3.8913987218242476E-07$$

$$a_8=a_1·r^{n-1}=7200\cdot {0.019444444444444445}^{8-1}=7200\cdot {0.019444444444444445}^7=7200\cdot 1.0509178646901904E-12=7.566608625769371E-09$$

$$a_9=a_1·r^{n-1}=7200\cdot {0.019444444444444445}^{9-1}=7200\cdot {0.019444444444444445}^8=7200\cdot 2.0434514035642594E-14=1.4712850105662669E-10$$

$$a_{10}=a_1·r^{n-1}=7200\cdot {0.019444444444444445}^{10-1}=7200\cdot {0.019444444444444445}^9=7200\cdot 3.973377729152726E-16=2.860831964989963E-12$$