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$Let a_{1}, a_{2}, a_{3}, \dots a_{49}, a_{50} are in A.P. If a_{1} = 4, and a_{50} = 144 then the value of$ $\frac{1}{\sqrt{a_{1}} + \sqrt{a_{2}}} + \frac{1}{\sqrt{a_{2}} + \sqrt{a_{3}}} + .. + \frac{1}{\sqrt{a_{49}} + \sqrt{a_{50}}} =$

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Correct option is B

1a1+a2+1a2+a3+..+1a49+a50=a2-a1+a3-a2+..+a50-a49d=a50−a1d=144−414049=4914

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Let a1,a2,a3,…a49,a50 are in A.P. If a1=4, and a50=144 then the value of 1a1+a2+1a2+a3+..+1a49+a50=

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$Let a_{1}, a_{2}, a_{3}, \dots a_{49}, a_{50} are in A.P. If a_{1} = 4, and a_{50} = 144 then the value of$ $\frac{1}{\sqrt{a_{1}} + \sqrt{a_{2}}} + \frac{1}{\sqrt{a_{2}} + \sqrt{a_{3}}} + .. + \frac{1}{\sqrt{a_{49}} + \sqrt{a_{50}}} =$