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The 7th term of an AP is 71. The third term is 43. Find the 4th term.
1. 50
2. 51
3. 49
4. 55

1 Answer

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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, Tn = 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.

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