Math, asked by kavilaksuresh39, 7 months ago

What is the common difference of an A.P. in which a₂₄-a₁₇=-28?

Answers

Answered by anay62
2

Answer:

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Answered by abhi569
3

Answer:

- 4

Step-by-step explanation:

In APs, nth term is given by a + ( n - 1 )d, where symbols have their usual meaning. Let the first term and common difference of this AP is a and d.

 Hence,

⇒ a₂₄ - a₁₇

⇒ [ a + ( 24 - 1 )d ] - [ a + ( 17 - 1 )d ]

⇒ [ a + 23d ] - [ a + 16d ]

⇒ a + 23d - a - 16d

⇒ 23d - 16d

⇒ 7d

        Also,

  a₂₄ - a₁₇ = - 28

 ⇒ 7d = - 28

 ⇒ d = - 28/7 = - 4

Hence, common difference is - 4

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