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The sum of the series 1/(√3+√4) + 1/√(4+√5) +....+ 1/√(224 +√225) is(a) 15 -√3 (b) √15-2(c) 12(d) None of these |
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Answer» Correct option (a)15 -√3 Explanation: Solve this on the same pattern as Question 31 and you can easily see that for the first term sum of the series is 2 -√3, for 2 terms we have the sum as √5 -√3 and so on. For the given series of 120 terms the sum would be √225 -√3 = 15 -√3. |
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