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Asked by g_archanasharma 10th April 2018, 10:08 AM
Answered by Expert
Answer:
begin mathsize 16px style Given space series space can space be space written space as space follows colon
sum from straight r equals 3 to infinity of space fraction numerator 1 over denominator straight r squared plus straight r minus 2 end fraction
rightwards double arrow sum from straight r equals 3 to infinity of space fraction numerator 1 over denominator open parentheses straight r plus 2 close parentheses open parentheses straight r minus 1 close parentheses end fraction
rightwards double arrow 1 third sum from straight r equals 3 to infinity of space fraction numerator 3 over denominator open parentheses straight r plus 2 close parentheses open parentheses straight r minus 1 close parentheses end fraction
rightwards double arrow 1 third sum from straight r equals 3 to infinity of space open parentheses fraction numerator 1 over denominator straight r minus 1 end fraction minus fraction numerator 1 over denominator straight r plus 2 end fraction close parentheses
rightwards double arrow 1 third open square brackets open parentheses 1 half plus 1 third plus 1 fourth plus up diagonal strike 1 fifth end strike plus up diagonal strike 1 over 6 end strike plus up diagonal strike 1 over 7 end strike close parentheses plus....... negative open parentheses up diagonal strike 1 fifth end strike plus up diagonal strike 1 over 6 end strike plus up diagonal strike 1 over 7 end strike plus...... close parentheses close square brackets
rightwards double arrow 1 third open parentheses 1 half plus 1 third plus 1 fourth close parentheses
rightwards double arrow 13 over 36 end style
Answered by Expert 10th April 2018, 4:38 PM
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