two APs have the same common difference .the first term of one of these is -1 and that of the other is -8 .what is the difference between their 4th terms
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9
Answer:
7
Step-by-step explanation:
Let the common difference of these APs be d.
In APs nth term is given by a + ( n - 1 )d where symbols have their usual meaning.
Required result :
⇒ 4th term of AP with(- 1) - 4th term of AP with - 8
⇒ [ - 1 + ( 4 - 1 )d ] - [ - 8 + ( 4 - 1 )d ]
⇒ [ - 1 + 3d ] - [ - 8 + 3d ]
⇒ - 1 + 3d + 8 - 3d
⇒ 8 - 1
⇒ 7
Difference between their 4th terms is 7
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