Turito Academy

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The sets <img src="data:image/png;base64,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" class="Wirisformula" alt="S subscript 1 comma S subscript 2 comma S subscript 3 comma horizontal ellipsis horizontal ellipsis" width="93" height="17" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi»S«/mi»«mn»1«/mn»«/msub»«mo»,«/mo»«msub»«mi»S«/mi»«mn»2«/mn»«/msub»«mo»,«/mo»«msub»«mi»S«/mi»«mn»3«/mn»«/msub»«mo»,«/mo»«mo»§#8230;«/mo»«mo»§#8230;«/mo»«/math»'/> are given by<img src="data:image/png;base64,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" class="Wirisformula" alt="S subscript 1 equals open parentheses 2 over 1 close parentheses comma S subscript 2 equals open parentheses 3 over 2 comma 7 over 2 close parentheses comma S subscript 3 equals open parentheses 4 over 3 comma 9 over 3 comma 14 over 3 close parentheses S subscript 4 equals open parentheses 5 over 4 comma 11 over 4 comma 17 over 4 comma 23 over 4 close parentheses horizontal ellipsis horizontal ellipsis" width="480" height="38" style="vertical-align:-14px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi»S«/mi»«mn»1«/mn»«/msub»«mo»=«/mo»«mfenced separators=¨|¨»«mfrac»«mn»2«/mn»«mn»1«/mn»«/mfrac»«/mfenced»«mo»,«/mo»«msub»«mi»S«/mi»«mn»2«/mn»«/msub»«mo»=«/mo»«mfenced separators=¨|¨»«mrow»«mfrac»«mn»3«/mn»«mn»2«/mn»«/mfrac»«mo»,«/mo»«mfrac»«mn»7«/mn»«mn»2«/mn»«/mfrac»«/mrow»«/mfenced»«mo»,«/mo»«msub»«mi»S«/mi»«mn»3«/mn»«/msub»«mo»=«/mo»«mfenced separators=¨|¨»«mrow»«mfrac»«mn»4«/mn»«mn»3«/mn»«/mfrac»«mo»,«/mo»«mfrac»«mn»9«/mn»«mn»3«/mn»«/mfrac»«mo»,«/mo»«mfrac»«mn»14«/mn»«mn»3«/mn»«/mfrac»«/mrow»«/mfenced»«msub»«mi»S«/mi»«mn»4«/mn»«/msub»«mo»=«/mo»«mfenced separators=¨|¨»«mrow»«mfrac»«mn»5«/mn»«mn»4«/mn»«/mfrac»«mo»,«/mo»«mfrac»«mn»11«/mn»«mn»4«/mn»«/mfrac»«mo»,«/mo»«mfrac»«mn»17«/mn»«mn»4«/mn»«/mfrac»«mo»,«/mo»«mfrac»«mn»23«/mn»«mn»4«/mn»«/mfrac»«/mrow»«/mfenced»«mo»§#8230;«/mo»«mo»§#8230;«/mo»«/math»'/> then the sum of numbers in the set <img src="data:image/png;base64,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" class="Wirisformula" alt="S subscript 20" width="26" height="17" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi»S«/mi»«mn»20«/mn»«/msub»«/math»'/> is :

Solution for the question - the sets 5_(1),s_(2),s_(3),dots dots are given by5_(1)=((2)/(1)),5_(2)=((3)/(2),(7)/(2)),5_(3)=((4)/(3),(9)/(3),(14)/(3))5_(4)=((5)/