Maths-
General
Easy
Question
A city sets up 14 rows of chairs for an outdoor concert. Each row has 2 more rows than the row in front of it. Write a recursive formula to represent the number of chairs in the nth row.
Hint:
- A sequence is said to be arithmetic if the common difference is always constant.
- The General formula of any AP is
.
The correct answer is: a_n=a_(n-1)+2.
- A city sets up 14 rows of chairs for an outdoor concert. Each row has 2 more rows than the row in front of it
- We have to find the recursive formula to represent the number of chairs in the nth row.
Step 1 of 1:
Here it will be an AP, with common difference 2.
So, The recursive formula will be
![table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell a subscript n equals a subscript n minus 1 end subscript plus d end cell row cell a subscript n equals a subscript n minus 1 end subscript plus 2 end cell end table](data:image/png;base64,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)
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Maths-General
Maths-
Casey opened a saving account with a
50 deposit. For every month after the first month she deposits
25. Write an explicit rule to represent the amount of money being deposited in her account. How much money will Casey have in her account after 24 months?
Casey opened a saving account with a
50 deposit. For every month after the first month she deposits
25. Write an explicit rule to represent the amount of money being deposited in her account. How much money will Casey have in her account after 24 months?
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Maths-General
Maths-
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Maths-General
Maths-
What is the horizontal asymptote of the rational function
![straight F left parenthesis straight x right parenthesis equals fraction numerator a x squared plus b x plus c over denominator d x squared plus e x plus f end fraction](data:image/png;base64,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)
What is the horizontal asymptote of the rational function
![straight F left parenthesis straight x right parenthesis equals fraction numerator a x squared plus b x plus c over denominator d x squared plus e x plus f end fraction](data:image/png;base64,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)
Maths-General
Maths-
Are graphs of the equations parallel, perpendicular or neither?
y = 2x + 1; 2x - y = 3
Are graphs of the equations parallel, perpendicular or neither?
y = 2x + 1; 2x - y = 3
Maths-General
Maths-
A Trainer mixed water with an electrolyte solution. Container is having 12 gal of 25% electrolyte solution. The Concentration of electrolytes can be modelled by
, Graph the function.
A Trainer mixed water with an electrolyte solution. Container is having 12 gal of 25% electrolyte solution. The Concentration of electrolytes can be modelled by
, Graph the function.
Maths-General
Maths-
Find the 12th term. -8, -5.5 , -3, -0.5, 2.0,....
Find the 12th term. -8, -5.5 , -3, -0.5, 2.0,....
Maths-General
Maths-
Write an equation of a line that passes through the given line and is perpendicular to the given line.
![left parenthesis 4 comma 3 right parenthesis semicolon space 4 x minus 5 y equals 30](data:image/png;base64,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)
Write an equation of a line that passes through the given line and is perpendicular to the given line.
![left parenthesis 4 comma 3 right parenthesis semicolon space 4 x minus 5 y equals 30](data:image/png;base64,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)
Maths-General
Maths-
Write recursive formula. -5,-8.5,-12,-15.5,-19,....
Write recursive formula. -5,-8.5,-12,-15.5,-19,....
Maths-General
Maths-
Write an equation of a line that passes through the given line and is perpendicular to the given line.
![left parenthesis negative 2 comma 5 right parenthesis semicolon space x equals 3](data:image/png;base64,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)
Write an equation of a line that passes through the given line and is perpendicular to the given line.
![left parenthesis negative 2 comma 5 right parenthesis semicolon space x equals 3](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGMAAAARCAYAAADJ0RJfAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAOJ5y/mQAAAjpJREFUeNrtmM9HBGEcxkcyki5Z2UOHWB2SZEmHtZLIWumQ6LA6JJEkWd07dUmH1aFbxw6RJEkiSZJEknRIpP+gwx6y1lLPy7NM07u777w78+4PPXzYmZ155533+b7f7zuvZf3WMti0Gkeb7HPTaRDcNWC/b9n3ppJ4qajPbcbBIciCPHgCs4r3fpfBqSFw0wDjOwbOwBfIgTewDULuC6M0w29dgxTo4HE/n5NSNENVNzSlnnUFpoHtGvdz94VbYMVQp3rAs89mrDZYrXMq6z4h3Bkx2IGcz2bEwKVGPxZKmLjB/4JWBLzK3LENGRFTTIlezLBdEbbP+6cU7n0EYcfxPNjRrGXfiv0O8zmibky4/ywYMqIN3LOwq5iR5yCLwrfmqD0y5TXNSIIMf49rzjBVuU1Lyy4qeGxEJxo6wTFIeHyBVhbndU7pPgUzvOoCjHK1FzIQlJ0MlHs+12iaitCI3irbSXCFVilNeVWaZg5qRLdOYBbVQUP+REY8ICNEJO+C9gCLf6yK9FL8FsooLrkDX8wEtbQVheqAqcYPDYB3yfkVvoPOjD1hoIgofTCUppy7Hm+mPvpOy+R4q0LBPWLEt5AkjZhW+OhTKeBdXBg4B38S7AU08CK9zjAwW/hF/gHmZBffBbDHo5pXZYM3w6gRi4tPzrBhyTNk2yGVzLBpdneJwEgGYMYIgzNHrmh+ySlTy43CfdmaW0GlNgp126sbLdVoW0GkyReN2iLqxKKP7f2L6SJcx+0Z0Q9gWaLbdU442QAAALl0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bW8+KDwvbW8+PG1vPiYjeDIyMTI7PC9tbz48bW4+MjwvbW4+PG1vPiw8L21vPjxtbj41PC9tbj48bW8+KTwvbW8+PG1vPjs8L21vPjxtbz4mI3hBMDs8L21vPjxtaT54PC9taT48bW8+PTwvbW8+PG1uPjM8L21uPjwvbWF0aD5kQpOqAAAAAElFTkSuQmCC)
Maths-General
Maths-
Find the vertical and horizontal asymptotes of rational function, then graph the function.
![straight F left parenthesis straight x right parenthesis equals fraction numerator x minus 1 over denominator 2 x plus 1 end fraction](data:image/png;base64,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)
Find the vertical and horizontal asymptotes of rational function, then graph the function.
![straight F left parenthesis straight x right parenthesis equals fraction numerator x minus 1 over denominator 2 x plus 1 end fraction](data:image/png;base64,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)
Maths-General
Maths-
Write recursive formula. 2,6,10,14,18,....
Write recursive formula. 2,6,10,14,18,....
Maths-General
Maths-
Write an equation of a line that passes through the given line and is perpendicular to the given line.
![left parenthesis 0 comma 3 right parenthesis semicolon space 3 x minus 4 y equals negative 8](data:image/png;base64,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)
Write an equation of a line that passes through the given line and is perpendicular to the given line.
![left parenthesis 0 comma 3 right parenthesis semicolon space 3 x minus 4 y equals negative 8](data:image/png;base64,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)
Maths-General
Maths-
Tell whether the given sequence is an arithmetic sequence. -6,5,16,27,38,....
Tell whether the given sequence is an arithmetic sequence. -6,5,16,27,38,....
Maths-General