పరిష్కారం - జ్యామితీ నిర్ణయాలు

శ్రేణికి సామాన్య రూపాన్ని కనుగొనడానికి, మొదటి పదాన్ని: $$a=27$$ మరియు పునరావృత్తి అనుపాతాన్ని: $$r=364.48148148148147$$ జామితీయ శ్రేణుల సూత్రానికి ప్లగ్ చేయండి:

$$a_1=27$$

$$a_2=a_1·r^{n-1}=27\cdot {364.48148148148147}^{2-1}=27\cdot {364.48148148148147}^1=27\cdot 364.48148148148147=9841$$

$$a_3=a_1·r^{n-1}=27\cdot {364.48148148148147}^{3-1}=27\cdot {364.48148148148147}^2=27\cdot 132846.75034293553=3586862.2592592593$$

$$a_4=a_1·r^{n-1}=27\cdot {364.48148148148147}^{4-1}=27\cdot {364.48148148148147}^3=27\cdot 48420180.374993645=1307344870.1248283$$

$$a_5=a_1·r^{n-1}=27\cdot {364.48148148148147}^{5-1}=27\cdot {364.48148148148147}^4=27\cdot 17648259076.678238=476502995070.31244$$

$$a_6=a_1·r^{n-1}=27\cdot {364.48148148148147}^{6-1}=27\cdot {364.48148148148147}^5=27\cdot 6432463613836.687=173676517573590.53$$

$$a_7=a_1·r^{n-1}=27\cdot {364.48148148148147}^{7-1}=27\cdot {364.48148148148147}^6=27\cdot 2344513867546919.5=63301874423766824$$

$$a_8=a_1·r^{n-1}=27\cdot {364.48148148148147}^{8-1}=27\cdot {364.48148148148147}^7=27\cdot 8.545318877973791E+17=2.3072360970529235E+19$$

$$a_9=a_1·r^{n-1}=27\cdot {364.48148148148147}^{9-1}=27\cdot {364.48148148148147}^8=27\cdot 3.114610484375558E+20=8.409448307814006E+21$$

$$a_{10}=a_1·r^{n-1}=27\cdot {364.48148148148147}^{10-1}=27\cdot {364.48148148148147}^9=27\cdot 1.135217843582958E+23=3.0650881776739866E+24$$