పరిష్కారం - జ్యామితీ నిర్ణయాలు

శ్రేణికి సామాన్య రూపాన్ని కనుగొనడానికి, మొదటి పదాన్ని: $$a=33$$ మరియు పునరావృత్తి అనుపాతాన్ని: $$r=1.0303030303030303$$ జామితీయ శ్రేణుల సూత్రానికి ప్లగ్ చేయండి:

$$a_1=33$$

$$a_2=a_1·r^{n-1}=33\cdot {1.0303030303030303}^{2-1}=33\cdot {1.0303030303030303}^1=33\cdot 1.0303030303030303=34$$

$$a_3=a_1·r^{n-1}=33\cdot {1.0303030303030303}^{3-1}=33\cdot {1.0303030303030303}^2=33\cdot 1.061524334251607=35.03030303030303$$

$$a_4=a_1·r^{n-1}=33\cdot {1.0303030303030303}^{4-1}=33\cdot {1.0303030303030303}^3=33\cdot 1.0936917383198375=36.09182736455464$$

$$a_5=a_1·r^{n-1}=33\cdot {1.0303030303030303}^{5-1}=33\cdot {1.0303030303030303}^4=33\cdot 1.1268339122083173=37.18551910287447$$

$$a_6=a_1·r^{n-1}=33\cdot {1.0303030303030303}^{6-1}=33\cdot {1.0303030303030303}^5=33\cdot 1.160980394396448=38.312353015082785$$

$$a_7=a_1·r^{n-1}=33\cdot {1.0303030303030303}^{7-1}=33\cdot {1.0303030303030303}^6=33\cdot 1.1961616184690678=39.47333340947924$$

$$a_8=a_1·r^{n-1}=33\cdot {1.0303030303030303}^{8-1}=33\cdot {1.0303030303030303}^7=33\cdot 1.2324089402408576=40.6694950279483$$

$$a_9=a_1·r^{n-1}=33\cdot {1.0303030303030303}^{9-1}=33\cdot {1.0303030303030303}^8=33\cdot 1.2697546657027017=41.90190396818915$$

$$a_{10}=a_1·r^{n-1}=33\cdot {1.0303030303030303}^{10-1}=33\cdot {1.0303030303030303}^9=33\cdot 1.3082320798149047=43.17165863389186$$