A Diginacci sequence is created as follows. • The first two terms are any positive whole numbers. . Each of the remaining terms is the sum of the digits of the previous two terms. For example, starting with 5 and 8 the Diginacci sequence is 5, 8, 13, 12, 7, 10, .. . The calculations for this example are 5+8= 13, 8+1+3= 12, 1+3+1+2= 7, 1+2+7 = 10. a List the first 26 terms of the Diginacci sequence above. b Find, with explanation, two starting terms for a Diginacci sequence so that its 2021st term is 11.

A Diginacci sequence is created as follows. • The first two terms are any positive whole numbers. . Each of the remaining terms is the sum of the digits of the previous two terms. For example, starting with 5 and 8 the Diginacci sequence is 5, 8, 13, 12, 7, 10, .. . The calculations for this example are 5+8= 13, 8+1+3= 12, 1+3+1+2= 7, 1+2+7 = 10. a List the first 26 terms of the Diginacci sequence above. b Find, with explanation, two starting terms for a Diginacci sequence so that its 2021st term is 11.

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Description: A Diginacci sequence is created as follows.• The first two terms are any positive whole numbers.. Each of the remaining terms is the sum of the digits of the previoustwo terms.For example, starting with 5 and 8 the Diginacci sequence is5, 8, 13, 12,

Advanced Engineering Mathematics

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ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence. It was invented by German mathematician Carl Friedrich Gauss.

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A Diginacci sequence is created as follows.
• The first two terms are any positive whole numbers.
. Each of the remaining terms is the sum of the digits of the previous
two terms.
For example, starting with 5 and 8 the Diginacci sequence is
5, 8, 13, 12, 7, 10, ..
.
The calculations for this example are
5+8= 13, 8+1+3= 12, 1+3+1+2= 7, 1+2+7 = 10.
a List the first 26 terms of the Diginacci sequence above.
b Find, with explanation, two starting terms for a Diginacci sequence
so that its 2021st term is 11.

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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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