4. If the fifth term of an AP is zero, show that its 33rd term is four times its 12 th term
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Given that fifth term of AP = 0
=> a + 4d = 0
=> a = -4d
_____________________
12th term = a + 11d = -4d + 11d = 7d
33rd term = a + 32d
= -4d + 32d
= 28d
= 4 × 7d
= 4 × 12th term (proved)
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