FMM18: Difference between revisions
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{{FMM | {{FMM | ||
|title= | |title=Radical Sums | ||
|problem= | |problem= | ||
Evaluate the sum: | |||
<math> | |||
\dfrac{1}{1 + \sqrt{1}} | |||
+ \dfrac{1}{\sqrt{2} + \sqrt{3}} | |||
+ \dfrac{1}{\sqrt{3} + \sqrt{4}} | |||
+ \dots | |||
+ \dfrac{1}{\sqrt{1977} + \sqrt{1978}} | |||
</math> | |||
|answer= | |answer= | ||
}} | }} | ||
Revision as of 02:15, 23 January 2020
Friday Morning Math Problem
Radical Sums
Evaluate the sum:
$ \dfrac{1}{1 + \sqrt{1}} + \dfrac{1}{\sqrt{2} + \sqrt{3}} + \dfrac{1}{\sqrt{3} + \sqrt{4}} + \dots + \dfrac{1}{\sqrt{1977} + \sqrt{1978}} $
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{{{solution}}}
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Friday Morning Math Problems weekly math problems
Spider Socks and Shoes FMM1 Sums of Powers of 2 FMM2 Fifty Coins FMM3 The Zeta Monogram FMM4 The Cthulhus Monogram FMM4B Multiplication Logic FMM5 The Termite and the Cube FMM6 Sharing Dump Trucks FMM7 The Flippant Juror FMM8 Bus Routes FMM9 A Robust Bus System FMM9B Square-Free Sequence FMM10 Inferring Rule from Sequence FMM11 Checkerboard Color Schemes FMM12 One-Handed Chords FMM13 First Ace FMM14 Which Color Cab FMM15 Petersburg Paradox Revisited FMM16 A Binomial Challenge FMM17 A Radical Sum FMM18 Memorable Phone Numbers FMM19 Arrange in Order FMM20 A Pair of Dice Games: FMM21
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