how to find the first negative term of a given A.P? both the value of the term and its n value.

Asked by  | 7th Jun, 2013, 09:47: PM

Expert Answer:

Any general term of the AP is given by a +(n-1)d 
And so, for the first negative term, you need to find the least value of n such that a +(n-1)d  <0
Now, if you know the value of a and d for the AP, you can substitute them in the above equation and find the value of n which will satisfy the inequality. 
 
Now, that will give you the n value and that can be substituted back into a +(n-1)d  to give the value of the term. 
 

Answered by  | 8th Jun, 2013, 07:17: PM

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