The 7th term of an AP is 71. The third term is 43. Find the 4th term.1

1.	The 7th term of an AP is 71. The third term is 43. Find the 4th term.1. 502. 513. 494. 55
Answer» Correct Answer - Option 1 : 50 Given: The 7th term of an AP is 71. The third term is 43. Formula used: Nth term of an AP, T_n= a + (n - 1)d, where ‘a’ is the first term, ‘n’ is the total number of terms and ‘d’ is the common difference. Calculation: Let the first term is ‘a’ and common difference is‘d’. T₇ = a + (7 – 1)d ⇒ 71 = a + 6d ----(1) T₃ = a + (3 – 1)d ⇒ 43 = a + 2d ----(2) From equation from (1) and (2) 71 – 6d = 43 – 2d ⇒ 4d = 28 ⇒ d = 7 And a = 29 Fourth term, T₄ = a + 3d ⇒ 29 + 3 × 7 = 50 ∴ required answer is 50.

The 7th term of an AP is 71. The third term is 43. Find the 4th term.1. 502. 513. 494. 55

Answer» Correct Answer - Option 1 : 50

Given:

The 7th term of an AP is 71. The third term is 43.

Formula used:

Nth term of an AP, T_n= a + (n - 1)d, where ‘a’ is the first term, ‘n’ is the total number of terms and ‘d’ is the common difference.

Calculation:

Let the first term is ‘a’ and common difference is‘d’.

T₇ = a + (7 – 1)d

⇒ 71 = a + 6d ----(1)

T₃ = a + (3 – 1)d

⇒ 43 = a + 2d ----(2)

From equation from (1) and (2)

71 – 6d = 43 – 2d

⇒ 4d = 28

⇒ d = 7

And a = 29

Fourth term, T₄ = a + 3d

⇒ 29 + 3 × 7 = 50

∴ required answer is 50.