Question

which term of the ap. 33,30, 27, 24,21,,......,. is 6​

Answer 1

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,

a  

n

​  

<0

⇒a+(n−1)d<0

⇒53+(n−1)×−5<0

⇒(n−1)×−5<−53

⇒n−1>  

5

53

​  

 

⇒n>  

5

58

​  

 

⇒n>11  

5

3

​  

 

Since, 12 is the natural number just greater than11  

5

3

​  

 

So, n=12

Therefore12  

th

term is first negative term.

Step-by-step explanation: