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Simplify:\frac { 1 } { 2 ^ { 2 } - 1 } + \frac { 1 } { 4 ^ { 2 } - 1 } + \frac { 1 } { 6 ^ { 2 } - 1 } + \dots + \frac { 1 } { 20 - 1 } |
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Answer» 1/(2^2-1}+{1/(4^2-1}+{1/(6^2-1}+.......+{1/(20^2-1} = 1/3 +1/15 +.....+1/399 = (1/1-2/3)+(2/3-3/5) +...+(10/19-11/21)= 1-11/21=10/21 |
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