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JEE Class main Answered

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

Asked by Vidushi412 | 03 May, 2019, 08:55: PM
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
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