find the sum of the series 1-2+3-4+5-6...to terms.
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Answer:
(- n)
Step-by-step explanation:
1 - 2 + 3 - 4 + 5 - 6 + .......
Dude you first try to group them..
accordingly.. 1st grp as +ve
and 2nd grp as -ve
(1+3+5+7...) + (-2-4-6-8...)
here, now take the negative sign as common...
therefore, (sum of odd terms) - (sum of even)
n² - n(n+1)
n² - n² - n
→ (-n)
So, sum of the series upto n terms is (-n)
Hope this helps u...
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