pls help 3qs plssss board exam
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as these r in AP ..there common difference will be same....mark this as brainlist...cheers
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Let us assume these values are AP and from the question
a₁ = (a-b)² a₂ = (a²+b²) a₃ = (a+b)²
We know that, In AP (assumption)
d ⇒ a₂ - a₁ = a₃ - a₂
And substituting these values,
(a²+b²) - (a-b)² = (a+b)² - (a²+b²)
a² + b² - (a² - 2ab + b²) = a² + 2ab + b² - (a² + b²)
a² + b² - a² + 2ab - b² = a² + 2ab + b² - a² - b²
(cancelling positive and negative terms)
2ab = 2ab
As both sides are equal this shows our assumption as correct,
Hence they form an AP
a₁ = (a-b)² a₂ = (a²+b²) a₃ = (a+b)²
We know that, In AP (assumption)
d ⇒ a₂ - a₁ = a₃ - a₂
And substituting these values,
(a²+b²) - (a-b)² = (a+b)² - (a²+b²)
a² + b² - (a² - 2ab + b²) = a² + 2ab + b² - (a² + b²)
a² + b² - a² + 2ab - b² = a² + 2ab + b² - a² - b²
(cancelling positive and negative terms)
2ab = 2ab
As both sides are equal this shows our assumption as correct,
Hence they form an AP
☺ Hope this Helps ☺
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