SOLUTION: If a,b,c are in AP then prove that a^2(b+c),b^2(c+a),c^2(a+b) are in AP
Algebra
.Com
Question 1207627
:
If a,b,c are in AP then prove that a^2(b+c),b^2(c+a),c^2(a+b) are in AP
Answer by
Edwin McCravy(20059)
(
Show Source
): You can
put this solution on YOUR website!
If a,b,c are in AP then prove that a^2(b+c),b^2(c+a),c^2(a+b) are in AP.
let the common difference be d a = b-d c = b+d
So they are in AP with common difference
Edwin
RELATED QUESTIONS
If a^2,b^2,c^2 are in AP then prove that 1/b+c,1/c+a,1/a+b are also in...
(answered by
Edwin McCravy
)
a^(1/x)=b^(1/y)=c^(1/z) if a,b,c are in GP. Prove x,y,z are in...
(answered by
jsmallt9
)
if a,b,c in ap nd x,y,z in gp prove that x^b y^c z^a=x^c y^a...
(answered by
fractalier
)
if a,b,c are in AP, aalnd a,mb,c are in GP then a, m^2b, c are in...
(answered by
MathLover1
)
if a,b,c are in AP, aalnd a,mb,c are in GP then a, m^2b, c are in...
(answered by
Edwin McCravy
)
if a,b ,c. are in HP. then prove that a/c =d-c/b...
(answered by
psbhowmick
)
a,b,c are in AP if 1,4 19 are subtracted from then it is in GP: Find...
(answered by
Edwin McCravy
)
if a,b,c,d are in continued proportion, prove that...
(answered by
Edwin McCravy
)
If a,b,c are in G.P. Then prove that...
(answered by
Edwin McCravy
)