పరిష్కారం - జ్యామితీ నిర్ణయాలు

శ్రేణికి సామాన్య రూపాన్ని కనుగొనడానికి, మొదటి పదాన్ని: $$a=66$$ మరియు పునరావృత్తి అనుపాతాన్ని: $$r=0.06060606060606061$$ జామితీయ శ్రేణుల సూత్రానికి ప్లగ్ చేయండి:

$$a_1=66$$

$$a_2=a_1·r^{n-1}=66\cdot {0.06060606060606061}^{2-1}=66\cdot {0.06060606060606061}^1=66\cdot 0.06060606060606061=4$$

$$a_3=a_1·r^{n-1}=66\cdot {0.06060606060606061}^{3-1}=66\cdot {0.06060606060606061}^2=66\cdot 0.0036730945821854917=0.24242424242424246$$

$$a_4=a_1·r^{n-1}=66\cdot {0.06060606060606061}^{4-1}=66\cdot {0.06060606060606061}^3=66\cdot 0.00022261179285972677=0.014692378328741967$$

$$a_5=a_1·r^{n-1}=66\cdot {0.06060606060606061}^{5-1}=66\cdot {0.06060606060606061}^4=66\cdot 1.349162380968041E-05=0.0008904471714389071$$

$$a_6=a_1·r^{n-1}=66\cdot {0.06060606060606061}^{6-1}=66\cdot {0.06060606060606061}^5=66\cdot 8.176741702836612E-07=5.396649523872164E-05$$

$$a_7=a_1·r^{n-1}=66\cdot {0.06060606060606061}^{7-1}=66\cdot {0.06060606060606061}^6=66\cdot 4.95560103202219E-08=3.2706966811346452E-06$$

$$a_8=a_1·r^{n-1}=66\cdot {0.06060606060606061}^{8-1}=66\cdot {0.06060606060606061}^7=66\cdot 3.003394564861933E-09=1.982240412808876E-07$$

$$a_9=a_1·r^{n-1}=66\cdot {0.06060606060606061}^{9-1}=66\cdot {0.06060606060606061}^8=66\cdot 1.8202391302193534E-10=1.2013578259447732E-08$$

$$a_{10}=a_1·r^{n-1}=66\cdot {0.06060606060606061}^{10-1}=66\cdot {0.06060606060606061}^9=66\cdot 1.1031752304359718E-11=7.280956520877414E-10$$