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【OG20-P153-50題】
If S=1+1/22 +1/32 +1/42 +1/52 +1/62 +1/72 +1/82 +1/92 +1/102 ,which of the following is true?
A.S>3
B.S=3
C.2 < S < 3
D.S=2
E.S < 2
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答案：
E
S = 1 + 1/2?
1/22>1/32>1/42>1/52>1/62>1/52>1/82>1/92>1/102
S < 1 + 1/22+ 1/22+ 1/42+ 1/42+ 1/42+ 1/42+ 1/82+ 1/82+ 1/82
S < 1 + 1/22*2+ 1/42*4+ 1/82*3
S < 1 + 1/4+ 1/4+ 3/64<2
S<2
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