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Find \(100 - 98 + 96 - 94 + \dots + 4 - 2\)

 Jul 17, 2020
 #1
avatar+21953 
+1

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?

 Jul 17, 2020
 #2
avatar+1130 
+3

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

 Jul 18, 2020

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