If a, b, c, d, e are in continued proportion, prove that a : e = a4 : b4.
Answers
Answered by
1
It is given that
a,b,c,d,e are in continued proportion
We can write it as
a/b=b/c=c/d=d/e=k
d=ek,c=ek
2
,b=ek3
a
nda=ek
4
Here
LHS =a/e
Substituting the values
=ek
4
/e
=k
4
RHS=a
4
/b
4
Substituting the values
=(ek
4
)
4
/(ek
3
)
4
So we get
=e
4
k
16
/e
4
k
12
=k
16–12
=k
4
Hence, it is proved that a:e=a
4
:b
4
I think it will help you
Similar questions