Civil Services UPSC EPFO (EO/AO) Mock Test 2023 Mathematics Sequences and Series Arithmetic Progressions
Let a, b and c be in an AP.
Consider the following statements
I. \(\frac{1}{ab}\), \(\frac{1}{ca}\) and \(\frac{1}{bc}\) are in an AP.
II. \(\frac{1}{\sqrt{b}+\sqrt{c}}\), \(\frac{1}{\sqrt{c}+\sqrt{a}}\) and \(\frac{1}{\sqrt{a}+\sqrt{b}}\) are in AP.
Which of the above statement(s) is/are correct?
1
Only I
2
Only II
3
Both I and II
4
Neither I nor II