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Solve the equation (x+1)+(x+4)+(x+7)++(x...

Solve the equation `(x+1)+(x+4)+(x+7)++(x+28)=155.`

Text Solution

Verified by Experts

The correct Answer is:
x=1
We have
(x+1)+(x+4)+…+(x+28)=155
L.H.S has 10 terms in A.P. with common difference 3.
`rArr10/2[(x+1)+(x+28)]=155`
`rArr` x=1
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