Question

Which term is first negative term for the ap 19 ,16,13,...

Answer 1

Answer:

a=19,d=-3 n=? An=-2

Step-by-step explanation:

An=a+(n-1)d

-2=19+(n-1)-3

-2-19=-3n+3

-21=-3n+3

-21-3=-3n

-24=-3n

n=8

SO 8TH TERM OF THE A. P WILL BE NEGATIVE

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Answer 2

First negative term is -2.

Step-by-step explanation:

Given : The A.P is 19 ,16,13,...

To find : Which term is first negative term for the A.P ?

Solution :

The given AP is  19, 16, 13,...

Where,  first term = 19

Common difference = 16 - 19 = -3

The nth term of AP is

$a_n=a+(n-1)d$

Substitute the values,

$a_n=19+(n-1)(-3)$

$a_n=19-3n+3$

$a_n=22-3n$           .... (1)

We need to find the first negative term,

So, $a_n<0$

$22-3n<0$

$22<3n$

$\dfrac{22}{3}<n$

$7.3333..<n$

n is greater than 7. It means 8th term is first negative term.

Substituted n=8 in equation (1) to find the 8th term.

$a_n=22-3(8)=22-24=-2$

Therefore, first negative term is -2.

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