Question

find the value of :(-1)¹+(-1)²+(-1)³+(-1)⁴+(-1)⁵+.........+(-1)⁸⁵

Answer 1

Answer:

The answer would most probably be -1.

Step-by-step explanation: As you start solving it, you will find a pattern that is: -1 + 1 - 1 + 1.......and so on so here you can see that -1 + 1=0 so when you carry on doing this question at last you will come across a situation as such : -1 + 1 - 1..... and from here you would obtain y0ur answer as -1...

Hope it helps.....

Answer 2

Step-by-step explanation:

here

We know that

even numbers of power of negative numbers results in positive integer and odd number results in negative integer

So

(-1)¹+(-1)²+(-1)³+(-1)⁴+(-1)⁵+.........+(-1)⁸⁵= -1+1-1+1....+1-1

Since each positive ( 1 ) is being cancelled by a negative (1) So The result will be the last number which is (-1)⁸⁵= -1

hope it helps ✌