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Alternate expression for finite summation

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#sequences-and-series #numerical-methods #summation
74
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How can I calculate $ \sum\limits_{j=0}^{49}\binom{100}{2j+1}p^{100-(2j+1)} q^{2j+1} $?

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#combinatorics #summation
775
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Can this recursive summation function be simplified?

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#summation #recursive-algorithms
66
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Is it possible to derive the sum of the tangent or cotangent from this?

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#summation #intuition
118
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Which numbers have the sum of their digits equal to the sum of the digits of their inverse?

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#elementary-number-theory #summation #recreational-mathematics
569
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Sum of $n^{\text{th}}$ powers of roots of quadratic

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#summation #roots #quadratics
728
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Calculate the binomial sum $ I_n=\sum_{i=0}^n (-1)^i { 2n+1-i \choose i} $

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#combinatorics #summation #binomial-coefficients
46
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Giving a closed expression to $\sum_{i=0}^b (-1)^{b-i} \binom{b}{i}\frac{1}{a+b-i}$

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#combinatorics #summation #closed-form
91
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Is there a tight upper bound on $\sum_{i=1}^n \sum_{j=1}^m \min(a\cdot i,b \cdot j)$

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#algebra-precalculus #summation
61
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Algebraic identity I cannot solve

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#algebra-precalculus #summation #standard-deviation #means
129
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Is $\sum_{i=1}^n i = \sum_{i=n}^1 i$

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#summation #arithmetic
50
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solve $\sum_{k=0}^a\binom{2a}{k}k$

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#summation
4.6k
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Calculate summation of square roots

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#summation
112
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Proving an inequality on the sum of $\log$ of primes.

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#sequences-and-series #number-theory #prime-numbers #summation
278
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Sums $\sum_{n=1}^{N}\sqrt{4n+1}$

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#sequences-and-series #algorithms #summation

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