Question

which term of the AP 52;48;43....is the first negative term​

Answer 1

Make sure your question is correct (it should be 44* instead of 43)

Answer:

15th

Step-by-step explanation:

First term = a = 52

Comm. diff. = 52 - 48 = - 4

 Let nth term be the first negative term. It means, nth term is less than 0.

⇒ a + (n - 1)d < 0

⇒ 52 + (n - 1)(-4) < 0

⇒ -4(n - 1) < - 52

⇒ 4(n - 1) > 52

⇒ 4n - 4 > 52

⇒ 4n  > 52 + 4

⇒ n > 56/4

⇒ n > 14

Hence, (14+1)th term is the first negative term.  

 15th term is the 1st negative term.

Note: If d is not -4, you can find it from the given series and then follow the same procedure

Answer 2

Answer:

Here first term a=53 and common difference d=−5

Let the nth term of the given AP be the 1st negative term.Therefore,

Since, 12 is the natural number just greater than11

5

3

So, n=12

Therefore12

th

term is first negative term.