Question
Make and test a conjecture about the square of odd numbers.
Hint:
Take general form and check.
The correct answer is: we get that the square of an odd number is always odd.
Complete step by step solution:
The square of an odd number is always an odd number.
We know that the odd number is always of the form 2n+1
Let some N = 2n + 1
On squaring both the sides, we get ![N squared equals open parentheses 2 n plus 1 close parentheses squared](data:image/png;base64,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)
![not stretchy rightwards double arrow N squared equals 4 n squared plus 4 n plus 1](data:image/png;base64,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)
On taking common from RHS part, we get ![N squared equals 2 n left parenthesis 2 n plus 1 right parenthesis plus 1](data:image/png;base64,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)
![not stretchy rightwards double arrow N squared equals 2 n left parenthesis N right parenthesis plus 1 left parenthesis text since end text N equals 2 n plus 1 right parenthesis](data:image/png;base64,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)
![not stretchy rightwards double arrow N equals 2 n plus 1](data:image/png;base64,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)
So we get that the square of an odd number is always odd.
Note: We can take the form of N = 2n - 1 and then find the square and then also
we get that the square of an odd number is always odd.
Related Questions to study
Complete the sentences with a subordinating cogs Rehire, at trough once. since
Complete the sentences with a subordinating cogs Rehire, at trough once. since
Graph the following functions by filling out the X/Y chart using the given inputs
![straight Y equals x over 3 plus 2](data:image/png;base64,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)
X | -6 | -3 | 0 | 3 | 6 |
Y |
We can find the tabular values for any points of x and then plot them on the graph. But we usually choose values for which calculating y is easier. Either way, we need points satisfying the equation to plot its graph.
Graph the following functions by filling out the X/Y chart using the given inputs
![straight Y equals x over 3 plus 2](data:image/png;base64,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)
X | -6 | -3 | 0 | 3 | 6 |
Y |
We can find the tabular values for any points of x and then plot them on the graph. But we usually choose values for which calculating y is easier. Either way, we need points satisfying the equation to plot its graph.
Make and test a conjecture about the sign of the product of any two negative integers.
Make and test a conjecture about the sign of the product of any two negative integers.
Choose whether the following is a simile or a metaphor
"Busy as a bee"?
Choose whether the following is a simile or a metaphor
"Busy as a bee"?
Mark has
100 gift card to buy apps for his smart phone .Each week he buys one new app for
4.99
a) Write an equation that relates the amount left on the card ,y , over time x.
b) Make a graph of the function
We can find the tabular values for any points of x and then plot them on the graph. But we usually choose values for which calculating y is easier. This makes plotting the graph simpler. We can also find the values by putting different values of y in the equation to get different values for x. Either way, we need points satisfying the equation to plot its graph.
Mark has
100 gift card to buy apps for his smart phone .Each week he buys one new app for
4.99
a) Write an equation that relates the amount left on the card ,y , over time x.
b) Make a graph of the function
We can find the tabular values for any points of x and then plot them on the graph. But we usually choose values for which calculating y is easier. This makes plotting the graph simpler. We can also find the values by putting different values of y in the equation to get different values for x. Either way, we need points satisfying the equation to plot its graph.
Chore the correct synonym for the word 'text'.
Chore the correct synonym for the word 'text'.
Choose the synonym for "Jumped”
Choose the synonym for "Jumped”
Use the function Y = 1.5X + 3 to complete the table of values.
X | ||||
Y | 9 | 6 | 0 | -3 |
We should always try to rewrite the equation in terms of the variable whose value is given so that it is easy to find the value of the required variable. Then we just need to calculate the values carefully.
Use the function Y = 1.5X + 3 to complete the table of values.
X | ||||
Y | 9 | 6 | 0 | -3 |
We should always try to rewrite the equation in terms of the variable whose value is given so that it is easy to find the value of the required variable. Then we just need to calculate the values carefully.
Rewrite the sentences using possessive nouns
Rewrite the sentences using possessive nouns
Choose the synonym 6 ‘auditory'
Choose the synonym 6 ‘auditory'
You have an ant form with 22 ants. The population of ants in your farm doubles every 3 months.
a) Complete the table .
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)
b) Is the relation forms a function ? If so , is it a linear function or non linear function ? Explain.
We can also check if the relation is a function or not graphically by using the vertical line test. A graph represents a function if any vertical line in the xy plane cuts the graph at maximum one point.
And it is linear if the graph drawn is a straight line.
You have an ant form with 22 ants. The population of ants in your farm doubles every 3 months.
a) Complete the table .
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)
b) Is the relation forms a function ? If so , is it a linear function or non linear function ? Explain.
We can also check if the relation is a function or not graphically by using the vertical line test. A graph represents a function if any vertical line in the xy plane cuts the graph at maximum one point.
And it is linear if the graph drawn is a straight line.
Describe the pattern in the numbers 9.001, 9.010, 9.019,
9.028, ... and write the next three numbers in the pattern.
Describe the pattern in the numbers 9.001, 9.010, 9.019,
9.028, ... and write the next three numbers in the pattern.