The 4th term of AP is zero .prove that the 25th term of the AP .is three times it's 11th term
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Answered by
8
an=0
n=4
25th=a+24d
11th=a+10d
4th=a+3d=0
a=-3d
a+24d=3(a+10d)
LHS
a+24d
-3d+24d
=21d
RHS
3(a+10d)
3a+30d
3×-3d+30d
-9d+30d
=21 d
since LHS=RHS
hence proved....
n=4
25th=a+24d
11th=a+10d
4th=a+3d=0
a=-3d
a+24d=3(a+10d)
LHS
a+24d
-3d+24d
=21d
RHS
3(a+10d)
3a+30d
3×-3d+30d
-9d+30d
=21 d
since LHS=RHS
hence proved....
Answered by
7
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