The fourth term of the ap is 0 prove that the 25th term of the ap is three times its 11th term
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4th term is 0
a+3d=0 a=-3d[1]
25th term=3x11term
now a+24d=-3d+24d=21d (by using 1)
now 11th term will be. a+10d= -3d+10d=7d
now we can see that 25th term is 21d and 11 term is 7d
it is clear that 25th term is 3times its 11th term.
hence proved.....
HOPE THIS HELPFUL..
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