పరిష్కారం - జ్యామితీ నిర్ణయాలు

శ్రేణికి సామాన్య రూపాన్ని కనుగొనడానికి, మొదటి పదాన్ని: $$a=1,989$$ మరియు పునరావృత్తి అనుపాతాన్ని: $$r=0.9869281045751634$$ జామితీయ శ్రేణుల సూత్రానికి ప్లగ్ చేయండి:

$$a_1=1989$$

$$a_2=a_1·r^{n-1}=1989\cdot {0.9869281045751634}^{2-1}=1989\cdot {0.9869281045751634}^1=1989\cdot 0.9869281045751634=1963$$

$$a_3=a_1·r^{n-1}=1989\cdot {0.9869281045751634}^{3-1}=1989\cdot {0.9869281045751634}^2=1989\cdot 0.9740270836003248=1937.3398692810458$$

$$a_4=a_1·r^{n-1}=1989\cdot {0.9869281045751634}^{4-1}=1989\cdot {0.9869281045751634}^3=1989\cdot 0.9612947034225428=1912.0151651074375$$

$$a_5=a_1·r^{n-1}=1989\cdot {0.9869281045751634}^{5-1}=1989\cdot {0.9869281045751634}^4=1989\cdot 0.948728759586954=1887.0215028184516$$

$$a_6=a_1·r^{n-1}=1989\cdot {0.9869281045751634}^{6-1}=1989\cdot {0.9869281045751634}^5=1989\cdot 0.9363270764550985=1862.3545550691908$$

$$a_7=a_1·r^{n-1}=1989\cdot {0.9869281045751634}^{7-1}=1989\cdot {0.9869281045751634}^6=1989\cdot 0.9240875068282345=1838.0100510813584$$

$$a_8=a_1·r^{n-1}=1989\cdot {0.9869281045751634}^{8-1}=1989\cdot {0.9869281045751634}^7=1989\cdot 0.9120079315755778=1813.9837759038242$$

$$a_9=a_1·r^{n-1}=1989\cdot {0.9869281045751634}^{9-1}=1989\cdot {0.9869281045751634}^8=1989\cdot 0.9000862592674004=1790.2715696828593$$

$$a_{10}=a_1·r^{n-1}=1989\cdot {0.9869281045751634}^{10-1}=1989\cdot {0.9869281045751634}^9=1989\cdot 0.8883204258129246=1766.869326941907$$