Question

You start with 3 leaves in a tree. Each day, you cut off one leaf off...

You start with 3 leaves in a tree. Each day, you cut off one leaf off your tree but each remaining leaf sprouts two more. Find the recursive formula for ??, the number of leaves the leaves have on day n. Prove using Mathematical Induction that ?? < 2 ? for n > 2.

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Kindly give a thumbs up.

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A binary tree isfullif every non-leaf node has exactly two children. For context, recallthat we saw...
A binary tree isfullif every non-leaf node has exactly two children. For context, recallthat we saw in lecture that a binary tree of heighthcan have at most 2h+1−1 nodes, and thatit achieves this maximum if it iscomplete, meaning that it is full and all leaves are at the samedistance from the root. Findμ(h), theminimumnumber of nodes that a full tree of heighthcan have, and prove your answer using ordinary induction onh. Note that tree of height of 0 isa single...
Lab Assignment 4b: Leaf Identification Leaf characteristics vary greatly from species to species. This means that...
Lab Assignment 4b: Leaf Identification Leaf characteristics vary greatly from species to species. This means that being familiar with the terms that botanists use to describe leaves is essential to proper classification and identification of species. The objective of this lab activity is: ·         To practice and master the use of terminology used to describe leaves ·         To practice identifying native species of Missouri For each of the following species of tree describe the leaves. You must include ALL of...
Suppose that the leaf color of a certain plant is controlled by one gene locus with...
Suppose that the leaf color of a certain plant is controlled by one gene locus with two alleles. At this locus the G allele is associated with orange color and is dominant to the g allele, which is associated with green color. You have a plant with orange leaves, but do not know whether that plant's genotype is GG or Gg. Which of the following would help you determine the plant's genotype? Cross two true-breeding, orange-leaved plants to each other...
In this lab, you will write a program that creates a binary search tree based on...
In this lab, you will write a program that creates a binary search tree based on user input. Then, the user will indicate what order to print the values in. **Please write in C code** Start with the bst.h and bst.c base code provided to you. You will need to modify the source and header file to complete this lab. bst.h: #ifndef BST_H #define BST_H typedef struct BSTNode { int value; struct BSTNode* left; struct BSTNode* right; } BSTNode; BSTNode*...
You have an internship working for the National Park Service. They start you off in the...
You have an internship working for the National Park Service. They start you off in the laboratory which tests possible new equipment. Your first job is to test a small cannon used to prevent avalanches in populated areas by shooting down heavy snow concentrations. You want to find out the velocity of the projectile as it leaves the cannon (muzzle speed) so that the range and trajectory of the cannon can be determined. The cannon you are testing weighs 260...
Losing a coin. You begin the day carrying 2 nickels and 1 dime in your pocket....
Losing a coin. You begin the day carrying 2 nickels and 1 dime in your pocket. Sadly, your pocket has a hole. Very sadly, at the end of the day, one of the 3 coins has fallen out. Each of the three coins has an equal probability of falling out. In the evening, you reach into your pocket and pull out one of the two remaining coins, each of which has an equal probability of being chosen. The coin you...
The database is to handle the bookings in a company that arranges one-day guided group tours...
The database is to handle the bookings in a company that arranges one-day guided group tours from the different hotels in a resort town to various destinations. Specific details are: Every hotel is described by: A unique hotel name, address, and phone number. Every destination is described by: A unique destination name, and type. Every guide is described by: A unique guide id, name, and all the languages that he/she speaks. Every tour is described by: A date, number of...
Here is a data set summarized as a stem-and-leaf plot: 3   00024677779 4 0003445677888899 5 04456...
Here is a data set summarized as a stem-and-leaf plot: 3   00024677779 4 0003445677888899 5 04456 6 669 How many data values are in this data set? n=n= What is the minimum value in the last class? What is the minimum value in the entire sample? How many of the original values are greater than 40? The test scores for two algebra classes are shown in the Stem and Leaf below. Test Scores Period 9 Period 10 9 8 2...
Every day I receive a random number of packages in the mail. I sanitize each one...
Every day I receive a random number of packages in the mail. I sanitize each one with hand sanitizer. I have enough hand sanitizer to sanitize 600 packages. Each day, I get at least two packages, but not more than a twelve, and I always receive an even number of packages. Among the possible numbers of packages I might receive, all are equally likely. Moreover, different days are independent. What is the approximate probability that my stockpile of hand sanitizer...
The percent of fat calories that a person in America consumes each day is normally distributed...
The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 36 and a standard deviation of 10. Suppose that one individual is randomly chosen. Let X=percent of fat calories. a. What is the distribution of X? X ~ N(__________,__________) b. Find the probability that a randomly selected fat calorie percent is more than 40. Round to 4 decimal places.__________ c. Find the minimum number for the upper quartile of...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT