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 4 and 8 the Diginacci sequence is 4, 8, 13, 12, 7, 10, ... The calculations for this exmaple are 4 + 8 = 13, 8 + 1 + 3 = 12, 1 + 3 + 1 + 2 = 7, 1 + 2 + 7 = 10 a. Calculate the first 28 terms of the Diginacci sequence with starting terms 1 and 1, and then find the 2021st number in the sequence.
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 4 and 8 the Diginacci sequence is 4, 8, 13, 12, 7, 10, ... The calculations for this exmaple are 4 + 8 = 13, 8 + 1 + 3 = 12, 1 + 3 + 1 + 2 = 7, 1 + 2 + 7 = 10 a. Calculate the first 28 terms of the Diginacci sequence with starting terms 1 and 1, and then find the 2021st number in the sequence.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 9T
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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 4 and 8 the Diginacci sequence is
4, 8, 13, 12, 7, 10, ...
The calculations for this exmaple are
4 + 8 = 13, 8 + 1 + 3 = 12, 1 + 3 + 1 + 2 = 7, 1 + 2 + 7 = 10
a. Calculate the first 28 terms of the Diginacci sequence with starting terms 1 and 1, and then find the 2021st number in the sequence.
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