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