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Numbers
(51 + 52 + 53 + ... + 100) =?
2525
2975
3225
3775
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Correct Answer:
3775
Explanation:
S
n
= (1 + 2 + 3 + ... + 50 + 51 + 52 + ... + 100) - (1 + 2 + 3 + ... + 50)
=
100
x (1 + 100) -
50
x (1 + 50)
2
2
= (50 x 101) - (25 x 51)
= (5050 - 1275)
= 3775.
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