Karen's Devotions

This is a selected collection of my devotions e-published on Daily Devotions, Journey Christian Church, Irvine, California; George Bragg, Editor. To join the mailing list, email George, gbragg@cox.net.

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As a 25+ year homeschooling vet, post-cancer, math prof, mother of five, master's track and field athlete, and certificated private pilot, I have a lot to share about what God has done in my life. In 2000 I began writing devotions as something to try when it seemed like accoustic pianists were becoming an endangered species at church. I have since found great blessings from writing and sharing. God is good.

Thursday, November 24, 2016

Happy Fibonacci Day! Belated

a_0 = 1;
a_1 = 1;
a_2 = a_0 + a_1 = 2;
a_3 = a_1 + a_2 = 3;
a_4 = a_2 + a_3 = 5;

a_k = a_{k-2} + a_{k-1} = [5-sqrt(5)]/10*[1/2-sqrt(5)/2]^k + [5+sqrt(5)]/10*[1/2+sqrt(5)/2]^k

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