పరిష్కారం - జ్యామితీ నిర్ణయాలు

శ్రేణికి సామాన్య రూపాన్ని కనుగొనడానికి, మొదటి పదాన్ని: $$a=234$$ మరియు పునరావృత్తి అనుపాతాన్ని: $$r=2.4444444444444446$$ జామితీయ శ్రేణుల సూత్రానికి ప్లగ్ చేయండి:

$$a_1=234$$

$$a_2=a_1·r^{n-1}=234\cdot {2.4444444444444446}^{2-1}=234\cdot {2.4444444444444446}^1=234\cdot 2.4444444444444446=572$$

$$a_3=a_1·r^{n-1}=234\cdot {2.4444444444444446}^{3-1}=234\cdot {2.4444444444444446}^2=234\cdot 5.975308641975309=1398.2222222222224$$

$$a_4=a_1·r^{n-1}=234\cdot {2.4444444444444446}^{4-1}=234\cdot {2.4444444444444446}^3=234\cdot 14.606310013717424=3417.876543209877$$

$$a_5=a_1·r^{n-1}=234\cdot {2.4444444444444446}^{5-1}=234\cdot {2.4444444444444446}^4=234\cdot 35.70431336686482=8354.809327846368$$

$$a_6=a_1·r^{n-1}=234\cdot {2.4444444444444446}^{6-1}=234\cdot {2.4444444444444446}^5=234\cdot 87.27721045233623=20422.86724584668$$

$$a_7=a_1·r^{n-1}=234\cdot {2.4444444444444446}^{7-1}=234\cdot {2.4444444444444446}^6=234\cdot 213.3442922168219=49922.56437873633$$

$$a_8=a_1·r^{n-1}=234\cdot {2.4444444444444446}^{8-1}=234\cdot {2.4444444444444446}^7=234\cdot 521.5082698633425=122032.93514802215$$

$$a_9=a_1·r^{n-1}=234\cdot {2.4444444444444446}^{9-1}=234\cdot {2.4444444444444446}^8=234\cdot 1274.7979929992819=298302.73036183196$$

$$a_{10}=a_1·r^{n-1}=234\cdot {2.4444444444444446}^{10-1}=234\cdot {2.4444444444444446}^9=234\cdot 3116.1728717760225=729184.4519955893$$