Question

Calculate 1-2+3-4+5-6+ ............ +179-180​

Answer 1

\sum_{n=1}^m n(-1)^{n-1}.

The infinite series diverges, meaning that its sequence of partial sums, (1, −1, 2, −2, ...), does not tend towards any finite limit. Nonetheless, in the mid-18th century, Leonhard Euler wrote what he admitted to be a paradoxical equation:

{\displaystyle 1-2+3-4+\cdots ={\frac {1}{4}}.}1-2+3-4+\cdots=\frac{1}{4}.

Answer 2

Answer:

Step-by-step explanation:

The above series consists of 180 no.s

If we consider solving two, two no.s in the given series we get -1-1-1..-1 so we get 90 (half of 180) -1's = -90.

This explanation is according to my basic knowledge in math. I'm a primary tutor in math.