What is the sum of first 10000 numbers in the series -1 1 -1 1 -1

i think sum is zero because the no of terms are even and alternative -1 and +1 will summed up as zero so zero would be correct ans
10 years agoHelpfull: Yes(19) No(0)

Sum is 0
-1+1=0
and for 10000 numbers it will form 5000 pairs
so 5000*0 = 0
10 years agoHelpfull: Yes(5) No(0)
it is gp......total terms n= 10000 r=-1 a=-1
sum=(a*((r^n)-1))/(r-1)
therefore sum=0
10 years agoHelpfull: Yes(2) No(0)
zero since no of terms are even
10 years agoHelpfull: Yes(2) No(0)
0 as 5000 times +1-1 = 0
10 years agoHelpfull: Yes(0) No(0)
As the powers of 3 may result in 3,9,7,1 as the units digit.And the series continues even the power raised to a larger number. so we divide the number by 4.
10 years agoHelpfull: Yes(0) No(0)
5000 pairs of (+1 & -1)=zero
10 years agoHelpfull: Yes(0) No(0)
0 I think sum is zero
10 years agoHelpfull: Yes(0) No(0)

What is the sum of first 10000 numbers in the series -1,+1,-1,+1,-1.......??