In an ap if 5 times the 5th term is equal to 7 times the 7th term the show the 12th term is zero
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Step-by-step explanation:
ATQ;
5(a+4d) = 7(a+6d)
5a+20d = 7a+42d
5a-7a = 42d-20d
-2a = 22d [divided by 2]
a = -11d..................(1)
we have to show that 12th term is zero,
a+11d = 0 ====> -11d+11d = 0
0 = 0
Hence LHS = RHS
Therefore, 12th is zero
thanks........
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