Question

Find the 52nd term of the arithmetic sequence 5, 9, 13, ...5,9,13,...

Answer 1

Step-by-step explanation:

a= 5

d = 9-5

= 4

First term of an ap = a

second term of an ap = a. + d

third term of an ap = a + 2d

similarly

52nd term = a + 51d

= 5 + 51 * 4

= 5 + 204

= 209

hope it helps you

Answer 2

Answer:

209.

Step-by-step explanation:

Here,

 First term of the AP is 5.

 Common difference is 13 - 9 = 9 - 5 = 4.

From the properties of AP :

     nth term = a + ( n - 1 )d,  where a is the first term and d is the common difference

Here, we have to find the 52th term, it means here we have to substitute n as 52.

⇒ 5 + ( 52 - 1 )4

⇒ 5 + ( 51 )4

⇒ 5 + 204

⇒ 209

     Hence 52 th term of the AP is 209.