Question

In an ap if a fourth term is 9 common difference is two third terms is​

Answer 1

Answer:

ii) If the sum of four terms in Arithmetic Progression be given, assume the numbers as a - 3d, a - d, a + d and a + 3d. (iii) If the sum of five terms in Arithmetic Progression be given, assume the numbers as a - 2d, a - d, a, a + d and a + 2d. Here common difference is 2d.

Answer 2

Answer:

The third term of the AP is 7.

Step-by-step-explanation:

We have given that,

In an AP,

t₄ = 9

d = 2

We have to find the third term of the AP.

We know that,

tₙ = a + ( n - 1 ) * d - - - [ Formula ]

⇒ t₃ = a + ( 3 - 1 ) * 2

⇒ t₃ = a + 2 * 2

⇒ t₃ = a + 4

Now,

t₄ = a + ( 4 - 1 ) * 2

⇒ 9 = a + 3 * 2

⇒ 9 = a + 6

⇒ 9 - 2 = a + 6 - 2

⇒ 7 = a + 4

⇒ a + 4 = 7

∴ t₃ = 7

∴ The third term of the AP is 7.