4.
Harish walks a certain distance on Monday. He
increases the distance by 500 m every day for the
rest of the week. If the total distance he walked
during the week is 14 km, find the distance he
walked on Wednesday.
Answers
Answered by
1
Answer:
the given problem pertains to arithmetic progression.
given d = 500m and S7 = 14000 m, n = 7
to find a3
let us find the distance he covered Monday.
a = ?
Sn = n/2 [ 2a + (n-1)d ]
14000 = 7/2 [ 2a + (7-1) 500 ]
14000 = 7/2 [ 2a + 3000 ]
14000 = 14a/2 + 10500 ]
14000 - 10500 = 14a/2
3500 = 14a/2
7000 = 14 a
therefore a = 7000/14
= 500
he walked 500 m on first day
now the distance he walked on Wednesday
a3 = a + (n-1)d
= 500 + 2×500
= 500 +1000
= 1500 m
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Answer:
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