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Answers
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 m
Distance covered by the competitor in the third pick,
= 2 × (5 + 3 × 2)
= 2 × (5 + 6)
= 64 m
Similarly, distance covered by the 10th pick.
= 2 × (5 + 3 × 9)
= 2 × (5 + 27)
= 64 m.
Therefore, the sequence becomes,
10, 16, 22, ..........., 64
Let S be the total distance covered by the competitor.
i.e,
S = 10 + 16 + 22 + ..... + 64
Here,
a = 10, d = 16 - 10 = 6
n = 10, l = 64
Therefore, S(10) = 10/2[10 + 64]
= 5 × 74
= 370 m
Hence, the total distance covered by the competitor is 370 m.