Question

which term of A.P. 25,21,17....is its first negative term​

Answer 1

Answer:

8th term

Step-by-step explanation:

The given A.P is 25,21,17..........

a=25

d= 21-25 = -4

n = ?

First, we will find which term will be 0.

For this, we will use the formula,

an = a+(n-1)d

0 = 25+(n-1)-4

-25 = -4n + 4

-25-4 = -4n

-29/ -4 = n

29/4= n

As n = 29/4 which is a fraction, there is no term that is 0

29/4 = 7.2 = 7(approx)

So if there would have been a term = 0, then it would be 7nth term.

Therefore, the first negative term will be 8th term.

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Answer 2

8th term

Step-by-step explanation:

The given A.P is 25,21,17..........

a=25

d= 21-25 = -4

n = ?

First, we will find which term will be 0.

For this, we will use the formula,

an = a+(n-1)d

0 = 25+(n-1)-4

-25 = -4n + 4

-25-4 = -4n

-29/ -4 = n

29/4= n

As n = 29/4 which is a fraction, there is no term that is 0

29/4 = 7.2 = 7(approx)

So if there would have been a term = 0, then it would be 7nth term.

Therefore, the first negative term will be 8th term.