పరిష్కారం - జ్యామితీ నిర్ణయాలు

శ్రేణికి సామాన్య రూపాన్ని కనుగొనడానికి, మొదటి పదాన్ని: $$a=432$$ మరియు పునరావృత్తి అనుపాతాన్ని: $$r=0.02546296296296296$$ జామితీయ శ్రేణుల సూత్రానికి ప్లగ్ చేయండి:

$$a_1=432$$

$$a_2=a_1·r^{n-1}=432\cdot {0.02546296296296296}^{2-1}=432\cdot {0.02546296296296296}^1=432\cdot 0.02546296296296296=11$$

$$a_3=a_1·r^{n-1}=432\cdot {0.02546296296296296}^{3-1}=432\cdot {0.02546296296296296}^2=432\cdot 0.0006483624828532235=0.28009259259259256$$

$$a_4=a_1·r^{n-1}=432\cdot {0.02546296296296296}^{4-1}=432\cdot {0.02546296296296296}^3=432\cdot 1.650922988746634E-05=0.0071319873113854584$$

$$a_5=a_1·r^{n-1}=432\cdot {0.02546296296296296}^{5-1}=432\cdot {0.02546296296296296}^4=432\cdot 4.203739091715966E-07=0.00018160152876212971$$

$$a_6=a_1·r^{n-1}=432\cdot {0.02546296296296296}^{6-1}=432\cdot {0.02546296296296296}^5=432\cdot 1.070396527983232E-08=4.624113000887562E-06$$

$$a_7=a_1·r^{n-1}=432\cdot {0.02546296296296296}^{7-1}=432\cdot {0.02546296296296296}^6=432\cdot 2.7255467147721184E-10=1.1774361807815551E-07$$

$$a_8=a_1·r^{n-1}=432\cdot {0.02546296296296296}^{8-1}=432\cdot {0.02546296296296296}^7=432\cdot 6.940049505206782E-12=2.99810138624933E-09$$

$$a_9=a_1·r^{n-1}=432\cdot {0.02546296296296296}^{9-1}=432\cdot {0.02546296296296296}^8=432\cdot 1.7671422351220972E-13=7.63405445572746E-11$$

$$a_{10}=a_1·r^{n-1}=432\cdot {0.02546296296296296}^{10-1}=432\cdot {0.02546296296296296}^9=432\cdot 4.499667728320154E-15=1.9438564586343064E-12$$