If a1- a2- a3- - an are in A-P- then 1- a1 - -a2 - 1-a2 - -a3 - - - 1-an - 1 - -an -

1√(a_1) + √(a_2) = 1√(a_1) + √(a_2)×√(a_1) √(a_2)√(a_1) √(a_2) = √(a_1) √(a_2)a_1 a_2 = √(a_1) √(a_2)d Similarly = 1d (√(a_1) √(a_2)) ...

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nth Term of A.P

If a1, a2, ...

Question

If $a_{1}, a_{2}, a_{3}, . . . . a_{n}$ are in A.P. then $\frac{1}{\sqrt{a_{1}} + \sqrt{a_{2}}} + \frac{1}{\sqrt{a_{2}} + \sqrt{a_{3}}} + . . . + \frac{1}{\sqrt{a_{n - 1}} + \sqrt{a_{n}}}$ =

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i

\frac{1}{\sqrt{a_{1}} + \sqrt{a_{2}}} + \frac{1}{\sqrt{a_{2}} + \sqrt{a_{3}}} + . . . . + \frac{1}{\sqrt{a_{n - 1}} + \sqrt{a_{n}}}

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