#weekendchallenge — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #weekendchallenge, aggregated by home.social.
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Missing #Math Operators:
Add the missing #math operators (+, -, *, /) to the free spaces and correct the #calculations in every line.a) 7 __ 7 __ 12 __ 3 = 5
b) (10 __ 3) __ 9 __3 = 3
c) (9 __ 7) __ 2 __ 3 = 24More #brainpuzzles:
https://brainsporthero.com/brain-teasers/missing-operator-puzzles/#brainteaser #brainteasers #braintraining #mathchallenge #puzzles #puzzle #weekchallenge #mentalhealth #trainyourbrain #brainfitness #brainpuzzle #brainsport #brainteasers #weekendchallenge
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Missing #Math Operators:
Add the missing #math operators (+, -, *, /) to the free spaces and correct the #calculations in every line.a) 7 __ 7 __ 12 __ 3 = 5
b) (10 __ 3) __ 9 __3 = 3
c) (9 __ 7) __ 2 __ 3 = 24More #brainpuzzles:
https://brainsporthero.com/brain-teasers/missing-operator-puzzles/#brainteaser #brainteasers #braintraining #mathchallenge #puzzles #puzzle #weekchallenge #mentalhealth #trainyourbrain #brainfitness #brainpuzzle #brainsport #brainteasers #weekendchallenge
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Missing #Math Operators:
Add the missing #math operators (+, -, *, /) to the free spaces and correct the #calculations in every line.a) 7 __ 7 __ 12 __ 3 = 5
b) (10 __ 3) __ 9 __3 = 3
c) (9 __ 7) __ 2 __ 3 = 24More #brainpuzzles:
https://brainsporthero.com/brain-teasers/missing-operator-puzzles/#brainteaser #brainteasers #braintraining #mathchallenge #puzzles #puzzle #weekchallenge #mentalhealth #trainyourbrain #brainfitness #brainpuzzle #brainsport #brainteasers #weekendchallenge
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Missing #Math Operators:
Add the missing #math operators (+, -, *, /) to the free spaces and correct the #calculations in every line.a) 2 __ 10 __ 5 = 7
b) 6 __ 4 __ (1__7) = 4
c) 11 __ 7 __ 6 __ 8 = 45More #brainpuzzles:
https://brainsporthero.com/brain-teasers/missing-operator-puzzles/#brainteaser #brainteasers #braintraining #mathchallenge #puzzles #puzzlesofinstagram #mentalhealth #trainyourbrain #brainfitness #brainpuzzle #brainsport #brainteasers #weekendplans #weekendchallenge
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Missing #Math Operators:
Add the missing #math operators (+, -, *, /) to the free spaces and correct the #calculations in every line.a) 2 __ 10 __ 5 = 7
b) 6 __ 4 __ (1__7) = 4
c) 11 __ 7 __ 6 __ 8 = 45More #brainpuzzles:
https://brainsporthero.com/brain-teasers/missing-operator-puzzles/#brainteaser #brainteasers #braintraining #mathchallenge #puzzles #puzzlesofinstagram #mentalhealth #trainyourbrain #brainfitness #brainpuzzle #brainsport #brainteasers #weekendplans #weekendchallenge
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Try to prove the following two results that relate the harmonic numbers to the golden ratio. Have an excellent weekend.
\[\displaystyle\sum_{n=1}^\infty\binom{2n}n\dfrac{H_n}{5^n}=2\sqrt5\ln\varphi\]
\[\displaystyle\sum_{n=1}^\infty\binom{2n}n\dfrac{H_n}{5^nn}=\frac{2\pi^2}{15}-2\ln^2\varphi\]
where \(\varphi=\frac{1+\sqrt5}2\) is the golden ratio; and \(H_n=\left(1+\frac12+\frac13+\ldots+\frac1n\right)\) is the \(n\)-th harmonic number.
#GoldenRatio #HarmonicNumbers #HarmonicNumber #Logarithm #Pi #Summation #Math #Sum #InfiniteSum #Binomial #BinomialCoefficient #Maths #WeekendChallenge