Sum of the series $S=1^2-2^2+3^2-4^2+$ $\ldots-2008^2+2009^2$ is

JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy

1 of 1

Application +4 | -1

Sum of the series

S=1^2-2^2+3^2-4^2+

\ldots-2008^2+2009^2

View answer and explanation

Correct option: A

2019045

Option A (2019045) is correct because the sum of the series can be simplified by pairing terms and using the formula for the sum of the first n integers.

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Given the sets

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{A} \cup({B} \cap {C})

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A-(B \cap C)

(iii)

(B \cup C)-A

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a,x,b

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b,y,c

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P(x)=1-x+x^2-x^3+\ldots+x^{2012}

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\log \left(\frac{5 c}{a}\right), \log \left(\frac{3 b}{5 c}\right)

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a, b, c

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