Question

If a, b, c are in A.P., then prove that a^2bc, ab^2c, abc^2 are in AP
please do this question (TT . TT)​

Answer 1

Step-by-step explanation:

If a, b, c are in AP then adding or subtracting or multiplying or dividing each term of the AP with the same number results in a new AP.

Any type of problems like this can be solved using this rule.

Lets solve this.

given,

a, b, c are in AP

Now, multiplying each term by abc, we get,

a×abc, b×abc, c×abc are in AP

=> a^2bc, ab^2c, abc^2 are in AP (proved)