The sum of the 4^th term and the 8^th terms of an A.P. is 24 and the sum of 6^th and the 10^th terms of the same A.P. is 34. Find the first three terms of the A.P.
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Question

The sum of the 4^th term and the 8^th terms of an A.P. is 24 and the sum of 6^th and the 10^th terms of the same A.P. is 34. Find the first three terms of the A.P.

KnowledgeBoat · Accepted Answer

According to question, a₄ + a₈ = 24 .......(i) a₆ + a₁₀ = 34 .......(ii) Solving (i) we get, ⇒ a + (4 - 1)d + a + (8 - 1)d = 24 ⇒ a + 3d + a + 7d = 24 ⇒ 2a + 10d = 24 ⇒ a + 5d = 12 .........(iii) Solving (ii) we get, ⇒ a + (6 - 1)d + a + (10 - 1)d = 34 ⇒ a + 5d + a + 9d = 34 ⇒ 2a + 14d = 34 ⇒ a + 7d = 17 .........(iv) Subtracting (iii) from (iv) we get, ⇒ a + 7d - (a + 5d) = 17 - 12 ⇒ 2d = 5 ⇒ d = . Substituting d in (iv) we get, ⇒ a + = 17 ⇒ a + = 17 ⇒ a = . A.P. = a, (a + d), (a + 2d) ......... Hence, A.P. =

Mathematics

The sum of the 4^th term and the 8^th terms of an A.P. is 24 and the sum of 6^th and the 10^th terms of the same A.P. is 34. Find the first three terms of the A.P.

AP

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Mathematics

The sum of the 4th term and the 8th terms of an A.P. is 24 and the sum of 6th and the 10th terms of the same A.P. is 34. Find the first three terms of the A.P.

AP

Related Questions

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The sum of the 4^th term and the 8^th terms of an A.P. is 24 and the sum of 6^th and the 10^th terms of the same A.P. is 34. Find the first three terms of the A.P.

Which term of the series :
21, 18, 15, …….. is -81 ?
Can any term of this series be zero ?
If yes, find the number of terms.

An A.P. consists of 60 terms. If the first and the last term be 7 and 125 respectively, find the 31^st term.

If the third term of an A.P. is 5 and the seventh term is 9, find the 17^th term.

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