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Sum of the series 2² – 5² + 8² – 11² + 14² – 17² + … + 152² – 155² is

Sum of the series 2² – 5² + 8² – 11² + 14² – 17² + … + 152² – 155² is

Grade:12th pass

1 Answers

Gundeep Singh
59 Points
4 years ago
2^2 - 5^2 = (-3)(2+5) (n=1)8^2-11^2 = (-3)(8+11) (n=2)14^2-17^2 = (-3)(14+17) (n=3).....152^2-155^2 = (-3)(152+155) (n=29) Adding all we get(-3)(7+19+31+43+.....+307) = (-3)( Summation(12n-5))= (-3)(12n(n+1)/2 -5n)=15n -18n(n+1)Now n=29= -15,225

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