Question

If a,b,c are in AP thn prove that ab(a+b), bc(b+c), ca(c+a) are also in AP.
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Answer 1

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Wrong Question Dear ❗

Reason:

Let us assume,

a = 1

b = 2

c = 3

Obviously, these are in A.P.

Now, Lets check out whether the given terms are in AP or NOT

ab(a+b) = 1.2(1+2) = 6

bc(b+c) = 2.3(2+3) = 30

ca(c+a) = 3.1(3+1) = 12

We found the terms as 6, 30, 12..

Are these in A.P?

If not, Your Question is Wrong. Do you have understood ?

✌

Answer 2

Answer:

Wrong Question Dear ❗

Reason:

Let us assume,

a = 1

b = 2

c = 3

Obviously, these are in A.P.

Now, Lets check out whether the given terms are in AP or NOT

ab(a+b) = 1.2(1+2) = 6

bc(b+c) = 2.3(2+3) = 30

ca(c+a) = 3.1(3+1) = 12

We found the terms as 6, 30, 12..

Are these in A.P?

If not, Your Question is Wrong. Do you have understood ?