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If kSn is defined to be the product of (n + k)(n - k + 1) for all positive integers k and n, which of the following expressions
If kSn is defined to be the product of (n + k)(n - k + 1) for all positive integers k and n, which of the following expressions
admin
2022-10-18
31
问题
If
k
S
n
is defined to be the product of (n + k)(n - k + 1) for all positive integers k and n, which of the following expressions represents
k
+
1
S
n+1
+1?
选项
A、(n + k)(n-k + 2)
B、(n + k)(n-k + 3)
C、(n + k+1)(n-k + 2)
D、(n + k + 2)(n-k+1)
E、(n + k + 2)(n - k + 3)
答案
D
解析
Substituting n + 1 for n and k + 1 for k in the definition gives
k+1
S
n+1
= (n + 1 + k+1)(n + 1-(k+1) + 1)= (n + k + 2)(n-k+1).
The correct answer is D.
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本试题收录于:
GMAT QUANTITATIVE题库GMAT分类
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GMAT QUANTITATIVE
GMAT
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