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Is -150 a term of the A.P. 11 ,\ 8,\ 5...

Is `-150` a term of the A.P. `11 ,\ 8,\ 5,\ 2,\ ...` ?

Text Solution

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Here, a=11,
`d=8-11=5-8=-3`
Let `" "a_(n)=-150`
`rArr 11+(n-1)(-3)=-150`
`rArr 11-3n+3=-150`
`rArr -3n=-164`
`rArr n=(164)/(3)=54(2)/(3)`
But the number of terms cannot be in fraction.
`:.` -150 is not a term of the given A.P.
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