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CBSE Class 11-science Answered

1•4•7+2•5•8+3•6•9+....... find sn
Asked by prashantbharati75 | 29 Sep, 2023, 09:30: AM
answered-by-expert Expert Answer
 
begin mathsize 14px style s subscript n space equals space sum from r equals 1 to n of r space left parenthesis r plus 3 right parenthesis left parenthesis r plus 6 right parenthesis end style
begin mathsize 14px style s subscript n space equals space sum from r equals 1 to n of space left parenthesis space r cubed plus space 9 space r squared space plus space 18 space r space right parenthesis end style
 
begin mathsize 14px style S subscript n space equals space stack sum space r cubed with r equals 1 below and n on top space plus space 9 space sum from r equals 1 to n of r squared space plus space 18 space sum from r equals 1 to n of r end style
 
begin mathsize 14px style S subscript n space equals space fraction numerator n squared left parenthesis n plus 1 right parenthesis squared over denominator 4 end fraction space plus space 9 space fraction numerator n space left parenthesis n plus 1 right parenthesis left parenthesis 2 n plus 1 right parenthesis over denominator 6 end fraction plus space 18 fraction numerator space n space left parenthesis n plus 1 right parenthesis over denominator 2 end fraction end style
Answered by Thiyagarajan K | 29 Sep, 2023, 12:33: PM

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