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11,8,5,2, … In this A.P. which term is n...

11,8,5,2, … In this A.P. which term is number -151?

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The correct Answer is:
The 55th term of the given A.P. is - 151.
Here, `a=t_(1)=11,t_(2)=8,t_(3)=5,t_(4)=2,...`
Let the `nth` term of the given A.P. be - 151.
Then `t_(n)= -151.`
`t_(n)=a+(n-1)d` …(Formula)
`therefore-151=11+(n-1)xx(-3)` ….(Substituting the values)
`therefore(n-1)xx(-3)=-151-11`
`therefore(n-10)xx(-3)=-162`
`thereforen-1=(-162)/(-3)" "thereforen-1=54" "thereforen=54+1`
`therefore n=55`,
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