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