If the 3rd term of AP is 8 and 6th term of AP is 17 what is the 8th term of AP?
- 20
- 23
- 25
- 29
Explanation
We are given:
- 3rd term = 8
- 6th term = 17
- We need to find the 8th term.
Formula for nth term of an AP:
Tₙ = a + (n - 1)d
Let’s form equations:
1) T₃ = a + 2d = 8
2) T₆ = a + 5d = 17
Subtract (1) from (2):
(a + 5d) - (a + 2d) = 17 - 8
⇒ 3d = 9
⇒ d = 3
Now plug back to find a:
a + 2(3) = 8
⇒ a + 6 = 8
⇒ a = 2
Now find the 8th term:
T₈ = a + 7d = 2 + 7(3) = 2 + 21 = 23
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