Question

in the A.P. 213, 28, 33, 38
which term will be 218​

Answer 1

Looks like your question has 23 in place of 213.

Answer:

40 th term

Step-by-step explanation:

In APs, nth term is given by a + ( n - 1 )d, where a is the first term and d is the common difference.

 Here,

First term = a = 23

Common difference = d = 28 - 23 = 5

 Let 218 be the nth term of this AP:

⇒ 218 = 23 + ( n - 1 )5

⇒ 218 - 23 = ( n - 1 )5

⇒ 195 = ( n - 1 )5

⇒ 195 / 5 = n - 1

⇒ 39 = n - 1

⇒ 40 = n

     40th term will be 218