If the 3rd and 9th term of an ap are 4 and -8 respectively then is there any term of this ap is zero
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Answer:
5th term is 0
Step-by-step explanation:
3rd term = a + 2d = 4
9th term = a + 8d = -8
subtract
9th term - 3rd term
a + 8d - a - 2d = -8 - 4
6d = -12
d = -12/6 = -2
a + 2d = 4
a + 2(-2) = 4
a - 4 = 4
a = 4 + 4
a = 8
an = a + (n-1)d = 0
8 + (n-1) × -2 = 0
(n-1)× -2 = -8
n-1 = -8/-2
n - 1 = 4
n = 4 + 1
n = 5
therefore the 5th term is 0
verification
a + 4d
= 8 + 4(-2)
= 8 - 8
= 0
the series in AP
8, 6, 4, 2, 0 ..........
hope you get your answer
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