Question

if the 10th term of an Ap is52 and 17th term is 20more than 13th term find Ap

Answer 1

hello....
given, a10 =52                 
         a + 9d =52 ...........(1)
 also,    a17 = 20+a13
        a + 16d =20+a+12d
         16d-12d=20
          4d=20
            d = 5
   putting the value of d in eq. (1), we get,
             a + 9(5) =52
            a +45 = 52
                a = 7
    hence, the required AP is 7,12,17,.........
I hope it help you...
please mark it as a brainieist answer

Answer 2

Answer:

Step-by-step explanation:

Given the 10'th term of an AP is 52 and its 17'th term is 20 more than its 13'th term

We have to find out,

The AP and its 30'th term

10'th term is 52 i.e. t₁₀ = a + 9d

a + 9d = 52 (given) -----[1]

its 17th term is 20 more than its 13th term

t₁₇ = 20 + t₁₃

⇒ a + 16d = 20 + a + 12d

⇒ 4d - 20 = 0

⇒ 4d = 20

⇒ d = 5

Substitute 'd' in [1]

We get,

⇒ a + 9d = 52

⇒ a + 45 = 52

⇒ a = 7

30'th term = a + 29d

7 + (29 * 5) = 152

Required answer:

AP = 7 , 12 , 17 , 22 , 27