Question

Is -150 a term of an ap 17,12,7,2,....

Answer 1

No, it is not as _150 does not have remainder 2, when divided by 5.

Answer 2

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Formula of Arithmetic Sequence or Progression;


Tn=a+(n-1)d


We have here;


Tn=-150

a=17

n=??

d=12-17

=-5


Now;!!! Substitute the value of Required terms in Given Arithmetic Sequence or Progression Equation!!!


Tn=a+(n-1)d

-150=17+(n-1)-5

-150=17-5n+5

-150=22-5n

-150-22=-5n

-172=-5n

172=5n

5n=172

n=172/5


Note:- Here, Number of terms in fraction So -150 is not value of AP .


Hence; Number of terms Never be Negative!!

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