పరిష్కారం - జ్యామితీ నిర్ణయాలు

శ్రేణికి సామాన్య రూపాన్ని కనుగొనడానికి, మొదటి పదాన్ని: $$a=425$$ మరియు పునరావృత్తి అనుపాతాన్ని: $$r=0.07764705882352942$$ జామితీయ శ్రేణుల సూత్రానికి ప్లగ్ చేయండి:

$$a_1=425$$

$$a_2=a_1·r^{n-1}=425\cdot {0.07764705882352942}^{2-1}=425\cdot {0.07764705882352942}^1=425\cdot 0.07764705882352942=33$$

$$a_3=a_1·r^{n-1}=425\cdot {0.07764705882352942}^{3-1}=425\cdot {0.07764705882352942}^2=425\cdot 0.006029065743944638=2.562352941176471$$

$$a_4=a_1·r^{n-1}=425\cdot {0.07764705882352942}^{4-1}=425\cdot {0.07764705882352942}^3=425\cdot 0.0004681392224709954=0.19895916955017304$$

$$a_5=a_1·r^{n-1}=425\cdot {0.07764705882352942}^{5-1}=425\cdot {0.07764705882352942}^4=425\cdot 3.63496337448067E-05=0.015448594341542847$$

$$a_6=a_1·r^{n-1}=425\cdot {0.07764705882352942}^{6-1}=425\cdot {0.07764705882352942}^5=425\cdot 2.822442149596756E-06=0.0011995379135786213$$

$$a_7=a_1·r^{n-1}=425\cdot {0.07764705882352942}^{7-1}=425\cdot {0.07764705882352942}^6=425\cdot 2.1915433161574813E-07=9.314059093669295E-05$$

$$a_8=a_1·r^{n-1}=425\cdot {0.07764705882352942}^{8-1}=425\cdot {0.07764705882352942}^7=425\cdot 1.7016689278399268E-08=7.232092943319689E-06$$

$$a_9=a_1·r^{n-1}=425\cdot {0.07764705882352942}^{9-1}=425\cdot {0.07764705882352942}^8=425\cdot 1.3212958733815902E-09=5.615507461871759E-07$$

$$a_{10}=a_1·r^{n-1}=425\cdot {0.07764705882352942}^{10-1}=425\cdot {0.07764705882352942}^9=425\cdot 1.0259473840374701E-10=4.360276382159248E-08$$