Question

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

Answer 1

Step-by-step explanation:

hope your doubt is clear.

Answer 2

8th term is first negative term. The first negative term is -2.

Step-by-step explanation:

The given AP is

19, 16, 13,...

First term = 19

Common difference = 16 - 19 = -3

nth term of AP is

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

where, a is first term and d is common difference.

Substitute a=19 and d=-3.

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

$a_n=19-3n+3$

$a_n=22-3n$           .... (1)

We need to find the first negative term.

$a_n<0$

$22-3n<0$

$22<3n$

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

$7.3333..<n$

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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