The value of the series $(1+2-3-4+5+6-7-8+9+10-11-12+…-99-100=?$

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Answer 1 · 2018-07-21T05:20:03

$(1+2-3-4+5+6-7-8+9+10-11-12+…-99-100$
Grouping taking 4 terms in a group

$=[(1+2-3-4)+(5+6-7-8)+(9+10-11-12)+…....+(97+98-99-100)]$

$=-4-4-4-........"up to.25 terms"$

$=-4xx25=-100$

The value of the series (1+2-3-4+5+6-7-8+9+10-11-12+…-99-100=?(1+2-3-4+5+6-7-8+9+10-11-12+…-99-100=?