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  1. Proof of explicit formula for recursive sequence by induction

    Apr 26, 2020 · How did they derive the explicit formula for this problem? Or more generally, how do you derive the explicit formula for a recursively-defined sequence? I understand that this …

  2. What is intuition behind writing the explicit formula for a sequence?

    2 Your concerns about "how would I know to do this in order to derive that?" are completely legitimate, and unfortunately in general there is no systematic way to find an explicit formula …

  3. Find an explicit formula for the recursive formula

    Jan 25, 2018 · Normally how we were taught to find an explicit formula, we start by defining the first few terms of the sequence in terms of the initial term, $a_0$, and then look for patterns to …

  4. Finding explicit formula of a series - Mathematics Stack Exchange

    Finding explicit formula of a series Ask Question Asked 5 years, 8 months ago Modified 5 years, 8 months ago

  5. Can the Fibonacci sequence be written as an explicit rule?

    Can the Fibonacci sequence be written as an explicit rule? Ask Question Asked 10 years, 2 months ago Modified 8 years, 5 months ago

  6. finding explicit formula - Mathematics Stack Exchange

    The question ask us to guess an explicit formula for the sequence $$y_k = y_{k-1} + k^2 ,$$ for all integers $k$ greater than or equal to 2 and $y_1 = 1$ Can someone ...

  7. difference between implicit and explicit solutions?

    Oct 29, 2011 · What is difference between implicit and explicit solution of an initial value problem? Please explain with example both solutions (implicit and explicit)of same initial value problem?

  8. explicit formula for the series - Mathematics Stack Exchange

    Nov 10, 2015 · For each series, find an explicit formula for the sequence of partial sums and determine if the series converges. (a) $\sum_ {n=1}^ {∞} 1/2^ {n}$ (b) $\sum_ {n=1 ...

  9. How to find explicit quadratic equation for a sequence of terms

    How would you find this explicit equation. For example, I have the sequence: 2,5,11,20,32,... and I want to 1) show that this is a quadratic and 2) find the explicit equation. Can you extend this …

  10. Explicit formula for floor (x)? - Mathematics Stack Exchange

    In number theory we have so-called explicit formula's in terms of the Riemann zeta zero's. For instance to count the sum of the logarithms of the primes below some given integer. (second …