if the 9th term of the ap is zero then prove that its 29th term is twice of its 19th term?
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Step-by-step explanation:
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Step-by-step explanation:
Given, a9 = 0
a + 8d = 0.
a = -8d............1
a29 = a + 28 d
= -8d + 28 d. ( by equation 1 )
= 20 d ................2
a19 = a + 18 d
= -8d + 18d ( by equation 1)
= 10d........................3
comparing equation 2 and 3, we get,
= a29 = 2 a9
= 20d = 2 × 10d
= 20d = 20d.
hence, it is provided.
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