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25 trees are planted in a straight line ...

25 trees are planted in a straight line 5 metre apart from each other. To water them the gardener must bring water for each tree separately from a well 10 metre from the first tree in line with the trees. The distance he will move in order to water all the trees beginning with the first if he starts from the well is :

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Distance Covered by Gardner from well to well :
`underset("well-1-well")ubrace(10+10)+underset("well-2-well")ubrace((10+5)+(10+5))+underset("well-3-well")ubrace((10+2xx5)+(10+2xx5))+underset("well-24-well")ubrace((10+23xx5)+(10+23xx5))+underset("well to 25th tree")ubrace((10+24xx5))`
`=2[10+(10+5)+(10+2xx5)+...+(10+23xx5)]+(10+24xx5)`
`=underset("24 terms")ubrace([10+15+20+...+125]) +(10+120)`
`2xx(24)/(2)[10+125]+130=24xx135+130=3240+130=3370 m`
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