Question

In a potato race a bucket is placed is at starting point which is 5 m from the patato and the other potatoes are placed 3m apart in a straight line. there are ten potatoes in the line
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Answer 1

Answer:

370m

Step-by-step explanation:

Distance run to pick first potato

= 5 m each side

= 5 m * 2

= 10 m both sides

Distance run to pick second potato

= 5 + 3 m each side

= 8 m each side

= 16 m both sides

Distance run to pick third potato

= 8 +3 m each side

= 11 m each side

= 22 m both side

Hence the series is

10, 16, 22,....

Since difference is same, it is an AP

Now, we need to calculate total distance she runs to pick 10 potatoes

i.e. S10

We can use the formula

Sn = n/2 [2a + (n 1)d]

Here, n = 10

(Since there are 10 potatoes)

& a = 10, d = 6

Putting the values in formula

Sn = n/2 [2a + (n – 1)d]

= 10/2 [2 * 10 + (10-1)6]

= 5 (20 + 9 * 6)

= 5(20 + 54)

= 5 * 74

= 370m