Question

Sum of 17 terms of the series 1² – 2²+ 3²– 4²+5² – 6²+........​

Answer 1

${1}^{2} - {2}^{2} + {3}^{2} - {4}^{2} + {5}^{2} - {6}^{2} + ......upto \: 17th \: terms$

$we \: know \: {x}^{2} - {y}^{2} = (x - y)(x + y)$

$applying \: this \: formula \: in \: sequence$

$- 3 - 7 - 11 - 15 - 19 - 23 - 27 - 31 + {17}^{2}$

$- 136 + 289 = 153 \: answer$

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