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Home / Doubts and Solutions/JEE/Mathematics

Solve the question in photo showing each step clearly.....

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Asked by Vidushi412 3rd May 2019, 8:55 PM
Answered by Expert
Answer:
begin mathsize 16px style sum from straight n equals 1 to straight N of space straight U subscript straight n space equals open vertical bar table row cell fraction numerator straight N open parentheses straight N plus 1 close parentheses over denominator 2 end fraction end cell 1 5 row cell fraction numerator straight N open parentheses straight N plus 1 close parentheses open parentheses 2 straight N plus 1 close parentheses over denominator 6 end fraction end cell cell 2 straight N plus 1 end cell cell 2 straight N plus 1 end cell row cell open parentheses fraction numerator begin display style straight N open parentheses straight N plus 1 close parentheses end style over denominator 2 end fraction close parentheses squared end cell cell 3 straight N squared end cell cell 3 straight N end cell end table close vertical bar equals fraction numerator begin display style straight N open parentheses straight N plus 1 close parentheses end style over denominator begin display style 12 end style end fraction open vertical bar table row 6 1 5 row cell 4 straight N plus 2 end cell cell 2 straight N plus 1 end cell cell 2 straight N plus 1 end cell row cell 3 straight N open parentheses straight N plus 1 close parentheses end cell cell 3 straight N squared end cell cell 3 straight N end cell end table close vertical bar straight C subscript 1 rightwards arrow straight C subscript 1 minus straight C subscript 2 minus straight C subscript 3 equals fraction numerator begin display style straight N open parentheses straight N plus 1 close parentheses end style over denominator begin display style 12 end style end fraction open vertical bar table row 0 1 5 row 0 cell 2 straight N plus 1 end cell cell 2 straight N plus 1 end cell row 0 cell 3 straight N squared end cell cell 3 straight N end cell end table close vertical bar equals 0 end style
Answered by Expert 6th May 2019, 10:36 AM
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