Question

Show that (a - b)(a + b) and (a + b) are in A.P.​

Answer 1

Answer:

here's your answer

Step-by-step explanation:

Assume that (a−b)2,(a2+b2) and (a+b)2 are in AP.

So, difference between two consecutive terms will be same.

(a2+b2)−(a−b)2=(a+b)2−(a2+b2)

(a2+b2)−(a2+b2−2ab)=a2+b2+2ab−a2−b2

2ab=2ab

Which is true.

Hence given terms are in AP.

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