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.
Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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
Transcribed Image Text: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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