Turito Academy

Test Prep

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Let <img src="data:image/png;base64,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" class="Wirisformula" alt="a subscript 1 end subscript comma a subscript 2 end subscript horizontal ellipsis.. a subscript 10 end subscript" width="89" height="14" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«msub»«mrow»«mi»a«/mi»«/mrow»«mrow»«mn»1«/mn»«/mrow»«/msub»«mo»,«/mo»«msub»«mrow»«mi»a«/mi»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/msub»«mo»…«/mo»«mo».«/mo»«mo».«/mo»«msub»«mrow»«mi»a«/mi»«/mrow»«mrow»«mn»10«/mn»«/mrow»«/msub»«/math»'/> be A.P and <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFIAAAARCAYAAABO4PtZAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAYhJREFUeNpjYEAF34CYiYF2gNbmDwq7VYD40hA2f9DYHQDEy4ew+YPG7nogLgdiYSDuA+KXQPwOiPOGiPmDxu5VUAsPA7EftDyRBuIfQMw1BMwfNHbfAuItQMyDJv4OGpOD3fxBYTcohr5giR0WaG032M0fNHabA/FeLOKWQLx/CJg/aOyOBOL5JIirAXEtEF+ggfn/ofgXEB+FNl0Gk998gPgGFPugS04C4kQsmkDiyVjEFwNxGtTDxABSzYdlySwgPkdhQFLTb6BUfBBargpDU7QlsoJ1QOyFRSMuceTUgw6WQ8UDqGA+A7RmxZZiieVT028bgNgeiW8LxJvQay8OLBpxiZMakOSabw9NAZQEJDX99gmtm8kEFaMY4Mray4lIaYSAJLSMVBqg3tB/IsV+0coyAyC+Am1ekAvUoO0+SYaBA8SkSBZapkhQj0GcwpS4DYj5GAYWEFNG2kMjnGZZmxIACkQNhoEH//G0PQWBWBRafntRagk6pqYHaGU2Nez3gXY5UQY9AMrFmivENiuwAAAAvnRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtc3ViPjxtaT5oPC9taT48bW4+MTwvbW4+PC9tc3ViPjxtbz4sPC9tbz48bXN1Yj48bWk+aDwvbWk+PG1uPjI8L21uPjwvbXN1Yj48bW8+JiN4MjAyNjs8L21vPjxtc3ViPjxtaT5oPC9taT48bW4+MTA8L21uPjwvbXN1Yj48L21hdGg+mhbPIgAAAABJRU5ErkJggg==" class="Wirisformula" alt="h subscript 1 end subscript comma h subscript 2 end subscript horizontal ellipsis h subscript 10 end subscript" width="82" height="17" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«msub»«mrow»«mi»h«/mi»«/mrow»«mrow»«mn»1«/mn»«/mrow»«/msub»«mo»,«/mo»«msub»«mrow»«mi»h«/mi»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/msub»«mo»…«/mo»«msub»«mrow»«mi»h«/mi»«/mrow»«mrow»«mn»10«/mn»«/mrow»«/msub»«/math»'/> be in H.P If <img src="data:image/png;base64,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" class="Wirisformula" alt="a subscript 1 end subscript equals h subscript 1 end subscript equals 2" width="81" height="17" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«msub»«mrow»«mi»a«/mi»«/mrow»«mrow»«mn»1«/mn»«/mrow»«/msub»«mo»=«/mo»«msub»«mrow»«mi»h«/mi»«/mrow»«mrow»«mn»1«/mn»«/mrow»«/msub»«mo»=«/mo»«mn»2«/mn»«/math»'/> and <img src="data:image/png;base64,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" class="Wirisformula" alt="a subscript 10 end subscript equals h subscript 10 end subscript equals 3" width="97" height="17" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«msub»«mrow»«mi»a«/mi»«/mrow»«mrow»«mn»10«/mn»«/mrow»«/msub»«mo»=«/mo»«msub»«mrow»«mi»h«/mi»«/mrow»«mrow»«mn»10«/mn»«/mrow»«/msub»«mo»=«/mo»«mn»3«/mn»«/math»'/> the <img src="data:image/png;base64,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" class="Wirisformula" alt="a subscript 3 end subscript h subscript 8 end subscript equals" width="54" height="17" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«msub»«mrow»«mi»a«/mi»«/mrow»«mrow»«mn»3«/mn»«/mrow»«/msub»«msub»«mrow»«mi»h«/mi»«/mrow»«mrow»«mn»8«/mn»«/mrow»«/msub»«mo»=«/mo»«/math»'/>

Solution for the question - let a_(1),a_(2)dots..a_(10) be a.p and h_(1),h_(2)dotsh_(10) be in h.p ifa_(1)=h_(1)=2 and a_(10)=h_(10)=3 the a_(3)h_(8)= 9