Find \(100 - 98 + 96 - 94 + \dots + 4 - 2\)
Hint: 100 - 98 = 2
96 - 94 = 2
92 - 90 = 2
...
8 - 6 = 2
4 - 2 = 2
How many 2s do you need to add together?
we put them into groups like this 100-98=2 like hwat geno3141 said and we have 100/2=50 groups of 2 numbers of 2 so the sum is 2*50=100
