(51 + 52 + 53 + ... + 100) =?

Q: (51 + 52 + 53 + ... + 100) =?

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.

2525
2975
3225
3775

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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