The 4th term of an ap is 0 prove that the 25th term of the ap is 3 times its 11th term
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The 4th term = a+3d = 0, or a = -3d.
The 25th term = a+24d = -3d+24d = 21d.
The 11th term = a+10d = -3d+10d = 7d.
But, 21d = 3*7d.
Hence the 25th term is 3 times the 11th term. Proved.
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