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Notice that 1 +3 + 5 + …. + 103 + 105 + 107
can be paired off. 1 with 107, 3 with 105, 5 with 103
The sum of each pair is 108
Now, number of terms = (107 +1)/2 = 54
( notice that for 1+ 3 +5 , there are 3 terms, (5+1)/2 =3 )
Number of pairs = number of pairs /2 = 27
The sum = 27(108)= 2916