Question

6. If the 10th term of an AP is 52 and 17th term is 20 more than its 13th
term, find the AP.​

Answer 1

Answer:

AP : 7, 12, 17, 22....

Step-by-step explanation:

a10 = 52 , a17 = a13 + 20

a + 9d = 52

a + 16d = a + 12d + 20

4d = 20

d = 5

a = 52 - 45

a = 7

I hope you are able to understand...

Thanku...

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

30'th term = 152