if 10 times the 10th term of an A.P is equal to 3 times the 3rd term, show that 3rd term of an A.P is zero ?
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a10 = a + 9d
a3 = a + 2d
10 ( a + 9d ) = 3 ( a + 2d )
10a + 90d = 3a + 6d
10a - 3a = 6d - 90d
7a = - 84d
a = - 12d
Now ,
a3 = a + 2d
= - 12d + 2d
= - 10d
a3 = a + 2d
10 ( a + 9d ) = 3 ( a + 2d )
10a + 90d = 3a + 6d
10a - 3a = 6d - 90d
7a = - 84d
a = - 12d
Now ,
a3 = a + 2d
= - 12d + 2d
= - 10d
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