Question

$heya \: mate \: please \: answer \: this \: simple \: question$
WHICH TERM OF
AP: 22,19,16,.....
IS FIRST NEGATIVE TERM

Answer 1

Answer:

10th term

Step-by-step explanation:

Let a be the first term and d be the common difference.

⇒ First term, a = 22.

⇒ Common difference d = 19 - 22 = -3

Let the nth term of the given A.P be the first negative term.

an < 0

⇒ a + (n - 1) * d < 0

⇒ 22 + (n - 1) * (-3) < 0

⇒ 22 - 3n + 3 < 0

⇒ 28 - 3n < 0

⇒ 28 < 3n

⇒ 3n > 28

⇒ n > 28/3

⇒ n > 9.3

Since, the 1st negative term is greater than 9.3, it is 10th term.

Therefore its 10th term is negative.

Hope it helps!

Answer 2

Step-by-step explanation:

a = 22, d = - 3

1. an < 0

an = a + (n - 1)d

So, a + (n -1)d < 0

22 + (n - 1) - 3 < 0

22 - 3n + 3 < 0

25 - 3n < 0

25 < 3n

25/3 < n

8.33 < n