arthimatic progression
In an A.P., T3 = 8, T10 = T6 + 20. Find A.P.
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reemaanver999:
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Answer:
Step-by-step explanation:
Given that ;
In an Arithmetic Progression (A. P) -
t₃ = 8
t₁₀ = t₆ + 20
For t₃ = 8 :-
tₙ = a + (n - 1)d
⇒ t₃ = a + ( 3 - 1 )d
⇒ 8 = a + 2d... (i)
For t₁₀ = t₆ + 20 :-
⇒ a + 9d = a + 5d + 20
⇒ a + 9d - a - 5d = 20
⇒ 4d = 20
⇒ d =
⇒ d = 5.....(ii)
Substituting the value of (ii) in (i),
8 = a + 2d
⇒ 8 = a + 2 * 5
⇒ 8 = a + 10
⇒ a = 8 - 10
⇒ a = - 2
Therefore, the terms of AP will be,
First term = a = - 2
Second term = a + d = - 2 + 5 = 3
Third term = a + 2d = - 2 + 10 = 8
Hence, the required AP is - 2, 3, 8,....tₙ
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