Answered: *The first two terms are any positive…

Name: A Diginacci Sequence is created as following. *The first two terms ar
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Description: A Diginacci Sequence is created as following. *The first two terms are any positive numbers. *Each of the remaining terms is the sum of the digits of the previous two terms. For example, starting 5 and 8 the Diginacci Sequence is 5, 8,13,12,7,10....

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A Diginacci Sequence is created as following.

*The first two terms are any positive numbers.

*Each of the remaining terms is the sum of the digits of the previous two terms.

For example, starting 5 and 8 the Diginacci Sequence is

5, 8,13,12,7,10.....

The calculation for this example are

5+8=13, 8+1+3=12, 1+3+1+2=7, 1+2+7=10

A. Find, with explanation, two starting terms for a Diginacci Sequence so that it's 2021st term is 11.

B. Find, with explanation, a Diginacci Sequence that has no term equal to 11.

C. Find, with explanation, a sequence with two different starting terms which contains five consecutive terms that are even and not all identical.

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