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| Answer» EXPLANATION:SOLUTION:-Since, the distance between the first and potato and the bucket = 5 m.and also there are 10 potatoes which are 3 m apart.Distance COVERED by the competitor is first pick,= 2 × 5 = 10 m.Distance covered by the competitor in second pick,= 2 × (5 + 3 × 1) = 2 × 8 = 16 mDistance covered by the competitor in the third pick,= 2 × (5 + 3 × 2)= 2 × (5 + 6)= 64 mSimilarly, distance covered by the 10th pick.= 2 × (5 + 3 × 9)= 2 × (5 + 27)= 64 m.Therefore, the sequence becomes,10, 16, 22, ..........., 64Let S be the total distance covered by the competitor.i.e,S = 10 + 16 + 22 + ..... + 64Here,a = 10, d = 16 - 10 = 6n = 10, l = 64Therefore, S(10) = 10/2[10 + 64]= 5 × 74= 370 mHence, the total distance covered by the competitor is 370 m. | |