Question

which term of AP 5,2,-1 ,....... is -142​

Answer 1

Answer:

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Answer 2

Answer:

-142 is the 50th term of the progression $5,2,-1,........$

Step-by-step explanation:

The given arithmetic progression is $5,2,-1,........$

We are required to find that which term of the progression is -142.

The first term of the progression is $a=5$ and

the common difference is $d=2-5=-1-2=-3$

We know that the nth term of an arithmetic progression is $a_{n}=a+(n-1)d$

Substituting the given values in above relation,we get

$-142=5+(n-1)(-3)= > -147=-3(n-1)= > 49=n-1\\= > n=50$

Therefore,

-142 is the 50th term of the progression $5,2,-1,........$

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