Find the sum of the following numbers without actually adding them1+3+5+7+9+11+13+15
1 answer:
S = 1 + 3 + 5 + ... + 11 + 13 + 15
S = 15 + 13 + 11 + ... + 5 + 3 + 1
==> 2S = (1 + 15) + (3 + 13) + (5 + 11) + ... + (15 + 1)
There are 8 terms in the sum, so
2S = 8 * 16 = 128
S = 128/2 = 64
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