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Infinite particles each of mass 'M' are ...

Infinite particles each of mass 'M' are placed at positions `x=1 m, x=2m, x=4 m .... prop`. Find the gravitational field intensity at the origin.

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`vec(I)_("net")=vec(I)_(1)+vec(I)_(2)+vec(I)_(3)+vec(I)_(4)+...oo` terms
`=(GM)/((1)^(2)) hat(i)+(GM)/((2)^(2)) hat(i)+(GM hat(i))/((4)^(2))+....oo` terms `=GM hat(i) (1+1/4+1/16+...oo)" "["Here in the GP a = 1 and "r=1/4]`
So, `vec(I)_("net")=GM hat(i) [1/(1-1/4)]=GM hat(i) [1/((3/4))] implies vec(I)_("net")=4/3 GM hat(i)`
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