Question

Use inductive reasoning to predict the next line in the sequence of computations. Use a calculator...

Use inductive reasoning to predict the next line in the sequence of computations. Use a calculator or perform the arithmetic by hand to determine whether your conjecture is correct.

3=1x3

3+7=2x5

3+7+11=3x7

Math   Algebra   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

The expressions on the left hand side are 3, 3+7, 3+7+11 ,… It may be observed that 7-3 = 4 and 11-7 = 4. Hence the next expressions on the left hand side should be 3+7+11+15, 3+7+11+15+19 and so on.

The expressions on the right hand side are1x3, 2x5, 3x7,… It may be observed that 1,2,3,.. are the natural numbers and 3,5,7,.. is anarithmetic series beginning with 3 and with a common f=difference 2. Hence the next expressions on the left hand side should be 4x9, 5x11 etc.

Thus, 3=1x3

3+7=2x5

3+7+11=3x7

3+7+11+15 = 4x9

3+7+11+15+19 =5x11

etc.

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
Use inductive reasoning to predict the next line in the pattern. 55times×22equals=1010 66times×22equals=1212 77times×22equals=1414 88times×22equals=1616 The...
Use inductive reasoning to predict the next line in the pattern. 55times×22equals=1010 66times×22equals=1212 77times×22equals=1414 88times×22equals=1616 The next line is nothingtimes × nothingequals= nothing.
4. Use the “zero” utility of your calculator to determine the zeros of f(x) = x^2...
4. Use the “zero” utility of your calculator to determine the zeros of f(x) = x^2 + 5x - 10 (round to the nearest tenth if necessary). 5. What are the zeros of the polynomial f(x) = x^4 (x-2)^2 (x+1)? Tel whether each zero is odd or even. 7. Use synthetic division to determine if k = -3 is a zero of f(x) = 2x^3 + 13x ^2 + 30x + 25. Give the answer as “yes” or “no”. Show...
Based on the data shown below, use your graphing calculator or Excel to calculate the regression...
Based on the data shown below, use your graphing calculator or Excel to calculate the regression line (each value to two decimal places) y = x + x y 1 27.98 2 26.51 3 27.44 4 25.97 5 21.8 6 23.53 7 22.56 8 18.19 9 18.72 10 16.15 11 15.68 12 11.71 13 10.84 14 9.47 15 9.6
Use this information for questions 7 - 11. A researcher desires to know if the age...
Use this information for questions 7 - 11. A researcher desires to know if the age of a child is related to the number of cavities he or she has. Fill out at a minimum the sums of each of the columns, then answer the questions. (If you have a TI-84, try entering x into L1, y into L2, then do STAT -- CALC -- 2 Var Stats to get the sums.) Age of child, x 6 8 9 10...
Find the linear regression line for the following table of values. You will need to use...
Find the linear regression line for the following table of values. You will need to use a calculator, spreadsheet, or statistical software. Enter your answer in the form y=mx+b, with m and b both rounded to two decimal places. x y 3 6.03 4 9.65 5 11.49 6 11.57 7 12.96 8 14.97 9 16.31 10 17.43 11 18.55    statistics
Find the linear regression line for the following table of values. You will need to use...
Find the linear regression line for the following table of values. You will need to use a calculator, spreadsheet, or statistical software. Enter your answer in the form y=mx+b, with m and b both rounded to two decimal places. x y 3 6.03 4 9.65 5 11.49 6 11.57 7 12.96 8 14.97 9 16.31 10 17.43 11 18.55 Provide your answer below:
USE CALCULATOR AND SHOW FULL STEPS FOR EACH TEST INCLUDING WHAT YOU INPUT Below are random...
USE CALCULATOR AND SHOW FULL STEPS FOR EACH TEST INCLUDING WHAT YOU INPUT Below are random samples of enrollments for medical schools that specialize in research and for those that specialize in primary care. Is there a difference in the average enrollment for the two specializations? Use a significance level of a = 0.05. a) Give the name of the hypothesis test that would be appropriate for this situation. (1 point) b) State the hypotheses in symbols. (2 points) c)...
Problem 3-5 Characteristic Line and Security Market Line You are given the following set of data:...
Problem 3-5 Characteristic Line and Security Market Line You are given the following set of data: HISTORICAL RATES OF RETURN Year      NYSE         Stock X 1 - 26.5% - 18.0% 2 37.2    18.0    3 23.8    18.5    4 - 7.2    2.0    5 6.6    11.4    6 20.5    15.9    7 30.6    16.0    Use a spreadsheet (or a calculator with a linear regression function) to determine Stock X's beta coefficient. Round your answer to two decimal places. Beta =   Determine the arithmetic average rates of...
Homework to be checked and reviewed for correctness. The following data was collected for linear regression...
Homework to be checked and reviewed for correctness. The following data was collected for linear regression analysis. Becky wants to use shoe size to predict a person's GPA. Shoe Size 6 11 5 10 8 9 12 6.5 7.5 GPA 2.1 2.9 4 3 1.5 2.4 3.5 1.98 3.88 A. Find r, using your calculator. B) Do a hypothesis test on whether there is significant linear correlation?    a = 0.01 When you find the test statistic, find it by hand...
For this assignment you will implement a simple calculator or interpreter that reads arithmetic expressions from...
For this assignment you will implement a simple calculator or interpreter that reads arithmetic expressions from a file. Specifically, you will implement the following function: /* * Reads one arithmetic "expression" at a time from a file stream, computes, then * returns the result. If there are additional expressions in the file, they are * read and computed by successive calls to “calculator”. * * “Expressions” are groups of operations (add, subtract, multiply, divide). Your * calculator will read and...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT