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Is -150 a term of the …

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Is -150 a term of the A.P.11,8,5,2,.......
  • 2 answers

Rajeev Malhotra 8 years ago

In the given A.P , the first term a= 11 , Common difference d = -3

Let the nth term be -150

Using the formula for the nth term 

an = a+(n-1)d

-150= 11+(n-1)*-3

-150-11= (n-1)*-3

-3(n-1) = -161

3(n-1)=161

n-1= 161/3 = 53 2/3

which is not possible. So, -150 is not a term of the given A.P.

 

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