A piece of string 20 m long is to be cut into pieces such that the lengths

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A piece of string 20 m long is to be cut into pieces such that the lengths of the pieces form an arithmetic sequence. 

a. If the lengths of the longest and shortest pieces are 2 m and 50 cm respectively, how many pieces are there?

b. If the length of the longest piece is 185 cm, how long is the shortest piece?

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