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If 7 times the 7th term of an AP is equa...

If 7 times the 7th term of an AP is equal to 11 times its 11th term, show that the 18th term of the AP is 0.

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`T_n = a + (n-1)d`
`7T_7 = 11T_11`
`T_7 = a + (7-1)d = a+6d`
`T_11 = a + (11-1)d = a + 10d`
`7(a + 6d) = 11(a + 10d)`
`7a + 42d = 11a + 110d`
`4a + 68d = 0`
`a = -68d/4= -17d`
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