Math, asked by sudheersaw600, 7 months ago

find the sum of the series 1-2+3-4+5-6...to terms. ​

Answers

Answered by jaikesavaa
2

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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