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If the third term and the …

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If the third term and the 9th term of an ap are 4 and -8 respectively which term of this ap is zero
  • 1 answers

Sia ? 6 years, 3 months ago

a(3) = a + 2d
4 = a + 2d
a(9) = a + 8d
-8 = a + 8d
(elimination method)
a + 2d = 4
(-) a + (-)8d =(+) -8 (opposite sign)
0 - 6d = 12
d = -2
a + 2(-2) = 4 (substitution)
a = 8
a(n) = a + (n-1)d
0 = 8 + (n-1)(-2)
= 8 - 2n + 2
= 10 - 2n
2n = 10
 n = 5

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