;; = the minimum value of all n held by m \"Understanding this sentence clearly is the key to this problem! Now that we know that the language is difficult to un" />
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A high school math problem with difficult language.
"bm is the inequality an >;; = the minimum value of all n held by m "Understanding this sentence clearly is the key to this problem! Now that we know that the language is difficult to understand, we should analyze it by analyzing the sentences in the text.

"bm is the lowest!" , "bm is the minimum value of all n!" , "bm is the minimum value of all n held by inequality an>= m!" So you can see clearly!

So the key to solve the problem now is to find the inequality an>, and all n =m holds. Substitute the general formula an=2n- 1 into the inequality and get: 2n-1>; =m,( 1)

Finishing: n & gt=(m+ 1)/2, (2)

That is to say, bn is the minimum value of n in formula (2)!

M is a positive integer, so m takes 1, 2, 3 and 4 in turn. . . . . . The minimum value of n can be obtained. Considering that n is also the cornerstone of an and can only be an integer, bn sequence can be obtained:

b 1= 1,b2=2,b3=2,b4=3,b5=3。 . . . . . Namely:

Bn=(n+ 1)/2, when n is odd;

=(n+2)/2, when n is even.