Question

In an AP, the first term is 12 and the common difference is 6. If the last term of the AP is 252
find its middle term​

Answer 1

Answer:

Step-by-step explanation:

Given: First term = a = 12

Common difference = d =6 and

last term of A.P. = 252

Let there be n terms in given A.P.

 

⇒ an = 252

⇒ a + (n – 1) d = 252

⇒12+ (n – 1)6 = 252

⇒(n – 1) 6 = 240

⇒n – 1 = 40

⇒ n = 41

The middle term is given by  

 

⇒ a21 = a + (n – 1) d

= 12 + (21 – 1) × 6

= 12+ 20 ×6  

= 132