Question

Find the values of Σ1992 and Σ399(-1)

Answer 1

Activities Text Editor Wed 11:38 4 E *Untitled Document 1 Save = Open Given 100 Σ 2 j = 1 = 2 + 2 + 2 + 2 +....... for 100 times (adding 2 for 100 times) EN = 2 * 100 = 200 a 100 22 j = 1 200 Given 100 Σ (-1)^j = (-1)^1 + (-1)^2 + (-1)^3 +.....+(-1)^100 j = 1 (-1)^(odd number) = -1 and (-1)^(even number) = 1 this series will return adding -1 and 1 alternatively like = -1 + 1 - 1 + + 1 (for 100 times) adding - 1 + 1 even number of times will give o adding - 1 + 1 - 1 odd number of times will given - 1 Here the series is adding -1 and 1 alternatively for 100 times (even number of times) so - 1 + 1 -1 + + 1 = 0 100 Σ (-1)^j = 0 j = 1 Plain Text Tab Width: 8 Ln 9, Col 13 INS

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