Q1. 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.
Q1. 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.
c )Find, with explanation, a Diginacci sequence that has no term equal
to 11.
d ) 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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