CBSE Class 10 Maths (Standard) 2020 · Paper 30/1/1 · Question 21

Arithmetic Progressions 2 marks Medium

Show that

(a - b)^{2}

(a^{2} + b^{2})

and

(a + b)^{2}

are in AP.

Answer

Since

t_{2} - t_{1} = t_{3} - t_{2} = 2 ab

, the terms

(a - b)^{2}

(a^{2} + b^{2})

(a + b)^{2}

are in AP with common difference

2 ab

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