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Show that are in A.P. |
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Answer» Answer: Step-by-step explanation: GIVEN numbers are : ( a - b )² , ( a² + b² ) & ( a + b )² We have to show that these given numbers are in AP. If the numbers are in AP then their common difference must be same.Second term - first term = THIRD term - second term a2 - a1 = A3 - a2 =>(a² + b² ) - (a - b )² = (a + b )² - (a² + b²) =>a² + b² - (a² - 2ab + b² ) = a² + b² + 2ab - a² - b² =>a² + b² - a² + 2ab - b² = a² - a² + b² - b² + 2ab => 2ab = 2abHere ,common difference is same Hence, the given numbers are in A.P.HOPE THIS ANSWER WILL HELP YOU... |
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