A positive integer is written on a blackboard. At each step, we are replacing the number on the board with the sum of its digits. Obviously, the number will get smaller and smaller at every step until it has only one digit and it will be constant after that. For example if we start with 298799034 on the blackboard, then it will continue like 298799034 51-6-6-6-... If we begin with 3152022 +14 written on the blackboard, then what is the single digit number we will eventually reach?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
M3
A positive integer is written on a blackboard. At each step, we are replacing the number on the
board with the sum of its digits. Obviously, the number will get smaller and smaller at every step
until it has only one digit and it will be constant after that.
For example if we start with 298799034 on the blackboard, then it will continue like
298799034516-6-6-...
If we begin with 3152022 +14 written on the blackboard, then what is the single digit number we
will eventually reach?
Transcribed Image Text:A positive integer is written on a blackboard. At each step, we are replacing the number on the board with the sum of its digits. Obviously, the number will get smaller and smaller at every step until it has only one digit and it will be constant after that. For example if we start with 298799034 on the blackboard, then it will continue like 298799034516-6-6-... If we begin with 3152022 +14 written on the blackboard, then what is the single digit number we will eventually reach?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,