పరిష్కారం - జ్యామితీ నిర్ణయాలు

శ్రేణికి సామాన్య రూపాన్ని కనుగొనడానికి, మొదటి పదాన్ని: $$a=1,008$$ మరియు పునరావృత్తి అనుపాతాన్ని: $$r=1.9444444444444444$$ జామితీయ శ్రేణుల సూత్రానికి ప్లగ్ చేయండి:

$$a_1=1008$$

$$a_2=a_1·r^{n-1}=1008\cdot {1.9444444444444444}^{2-1}=1008\cdot {1.9444444444444444}^1=1008\cdot 1.9444444444444444=1960$$

$$a_3=a_1·r^{n-1}=1008\cdot {1.9444444444444444}^{3-1}=1008\cdot {1.9444444444444444}^2=1008\cdot 3.780864197530864=3811.111111111111$$

$$a_4=a_1·r^{n-1}=1008\cdot {1.9444444444444444}^{4-1}=1008\cdot {1.9444444444444444}^3=1008\cdot 7.351680384087791=7410.493827160493$$

$$a_5=a_1·r^{n-1}=1008\cdot {1.9444444444444444}^{5-1}=1008\cdot {1.9444444444444444}^4=1008\cdot 14.294934080170705=14409.29355281207$$

$$a_6=a_1·r^{n-1}=1008\cdot {1.9444444444444444}^{6-1}=1008\cdot {1.9444444444444444}^5=1008\cdot 27.795705155887482=28018.070797134584$$

$$a_7=a_1·r^{n-1}=1008\cdot {1.9444444444444444}^{7-1}=1008\cdot {1.9444444444444444}^6=1008\cdot 54.047204469781214=54479.58210553946$$

$$a_8=a_1·r^{n-1}=1008\cdot {1.9444444444444444}^{8-1}=1008\cdot {1.9444444444444444}^7=1008\cdot 105.09178646901903=105932.52076077118$$

$$a_9=a_1·r^{n-1}=1008\cdot {1.9444444444444444}^{9-1}=1008\cdot {1.9444444444444444}^8=1008\cdot 204.34514035642587=205979.9014792773$$

$$a_{10}=a_1·r^{n-1}=1008\cdot {1.9444444444444444}^{10-1}=1008\cdot {1.9444444444444444}^9=1008\cdot 397.3377729152725=400516.47509859473$$