(a) The 5th term of an AP is 82 and the 12th term is 103.
(i) the first term and the common difference;
(ii) the sum of the first 21 terms.
(b) A staircase was built such that each subsequent stair has a uniform difference in height. The height of the 6th stair from the horizontal floor was 85 cm and the height of the 10th stair was 145 cm.
Calculate the height of the 1st stair and the uniform difference in height of the stairs.
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