SOLUTION: From a length of rod 600cm in length, 25 pieces are cut off, each 1 cm longer than the preceding piece. If the rod is exactly used up find the length of the first piece cut off.

Question 908146: From a length of rod 600cm in length, 25 pieces are cut off, each 1 cm longer than the preceding piece. If the rod is exactly used up find the length of the first piece cut off.
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
Natural Number, n.
p, first term, unknown.

p+(1)+(2)+more
p++1-1)*1+(2-1)*1+more
p+(n-1)*1+more, for n going from 1 to 25

Using the formula for this arithmetic series,
;
Solve for n.
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