Maths-
General
Easy
Question
Write an explicit formula for the arithmetic sequence.
an = 12 - 5n
Hint:
- Recursive Formula is a formula that defines the each term of sequence using the previous/preceding terms.
The correct answer is: a_(n-1)=a_n+5.
Explanation:
- We have given an explicit formula an = 12 - 5n
- We have to find the recursive formula
Step 1 of 1:
We have given a explicit formula an = 12 - 5n
![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 1 equals 12 minus 5 end cell row cell a subscript 1 equals 7 end cell end table](data:image/png;base64,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)
Now,
![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 minus 1 end subscript equals 12 minus 5 left parenthesis n minus 1 right parenthesis end cell row cell a subscript n minus 1 end subscript equals 12 minus 5 n plus 5 end cell row cell a subscript n minus 1 end subscript equals a subscript n plus 5 end cell end table](data:image/png;base64,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)
So, The recursive formula is
.
Now,
So, The recursive formula is
Related Questions to study
Maths-
Write an explicit formula for the arithmetic sequence.
an = 8 + 3n
Write an explicit formula for the arithmetic sequence.
an = 8 + 3n
Maths-General
Maths-
Use long Division to rewrite each rational function. Find the asymptotes of and sketch the graph.
![straight F left parenthesis straight x right parenthesis equals fraction numerator x over denominator x minus 6 end fraction](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFwAAAAgCAYAAACfDx/iAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAU2v5G4wAAAj9JREFUeNrtWt9HQ1EcPzJJEkmSvfWQJDOSJLOXJOk9SZKYZNK/kF5mD9NDL+mxh0h6SCamh0wSk/SU6LF/YJKZsb7HPuOae+7d/XHuznbPhw+799x7t33uOZ/z/Z7zZUyjiT1ixuT8Cdo0JOCNOG443iWeaVnkYZWYw+dl4qOWRD4KxCTxnTiq5ZCPI2KVGNNSyMcS8Qa2sqnKjzoQzOYiZHCP6pgk3hEHiUPEkgqWwofZi4v7nhUfomPEfIvA68RLmV9aF7BVuLiLZ88Ri4qK3U+8JUZN2q4QuUgT3ApxCO4WRQiv0abgWWLaw/MPHXp/6AV/ICYMxwPw86iJH5bQbsSiTiScCV6G3xkxi8nGiHviisAryw7nD9Fc0jOCW/3JmuC+tCHs27GZ2au6X7ffw2sWbddIh79tYtdqQB1FRfpiKU0kIGbKJvzSluJA8AJS31b0IeTbgn+LoCdNn8LCY9ZYN+bYJp5aeH1Wy+wt8ZmHfxuRg/A68fEoOEPcHTPE4dxmRkyuy8NCuiG1Vxq9unjlFc2RzoOCCmusOib9evi+wxQ9axO9dDtSEHgKx8MIIPSIloAZLGOEGkGWO5wzhXaGOomgyh0+iRNa7uDKHSrwbr6B8YdsuwQPDx2clDu4XVqoYzStESPIunk2/sW6Yx/XVwRR7sDDwKggSfwJk9hBlTvk0avNEJql6CDLHbhtbJicnya+hkHsoMsd+JLzE8LNCM4tED8wWfc0OlXuwF/yBfGXNTZp+AtIiC7+B8I+xdyVA5nWAAAA5nRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaSBtYXRodmFyaWFudD0ibm9ybWFsIj5GPC9taT48bW8+KDwvbW8+PG1pIG1hdGh2YXJpYW50PSJub3JtYWwiPng8L21pPjxtbz4pPC9tbz48bW8+PTwvbW8+PG1mcmFjPjxtaT54PC9taT48bXJvdz48bWk+eDwvbWk+PG1vPiYjeDIyMTI7PC9tbz48bW4+NjwvbW4+PC9tcm93PjwvbWZyYWM+PC9tYXRoPs7hWqAAAAAASUVORK5CYII=)
Use long Division to rewrite each rational function. Find the asymptotes of and sketch the graph.
![straight F left parenthesis straight x right parenthesis equals fraction numerator x over denominator x minus 6 end fraction](data:image/png;base64,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)
Maths-General
Maths-
Write an explicit formula for the arithmetic sequence.
![a subscript n equals a subscript n minus 1 end subscript plus 2.4 semicolon a subscript 1 equals negative 1](data:image/png;base64,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)
Write an explicit formula for the arithmetic sequence.
![a subscript n equals a subscript n minus 1 end subscript plus 2.4 semicolon a subscript 1 equals negative 1](data:image/png;base64,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)
Maths-General
Maths-
Write an explicit formula for the arithmetic sequence. ![a subscript n equals a subscript n minus 1 end subscript minus 3 semicolon a subscript 1 equals 10](data:image/png;base64,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)
Write an explicit formula for the arithmetic sequence. ![a subscript n equals a subscript n minus 1 end subscript minus 3 semicolon a subscript 1 equals 10](data:image/png;base64,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)
Maths-General
Maths-
Use long Division to rewrite each rational function. Find the asymptotes of and sketch the graph.
![straight F left parenthesis straight x right parenthesis equals fraction numerator 6 x over denominator 2 x plus 1 end fraction](data:image/png;base64,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)
Use long Division to rewrite each rational function. Find the asymptotes of and sketch the graph.
![straight F left parenthesis straight x right parenthesis equals fraction numerator 6 x over denominator 2 x plus 1 end fraction](data:image/png;base64,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)
Maths-General
Maths-
The cost to rent a bike is
28 for the first day plus
2 for each day after that. Write an explicit formula for the rental cost for n days. What is the cost of renting a bike for 8 days?
The cost to rent a bike is
28 for the first day plus
2 for each day after that. Write an explicit formula for the rental cost for n days. What is the cost of renting a bike for 8 days?
Maths-General
Maths-
The daily attendance at an amusement park after day x is given by the function
f(x) =
. On Approximately which day will the attendance be 1125 people ?
The daily attendance at an amusement park after day x is given by the function
f(x) =
. On Approximately which day will the attendance be 1125 people ?
Maths-General
Maths-
Graph each function and identify the horizontal and vertical asymptotes
![straight F left parenthesis straight x right parenthesis equals fraction numerator 3 x squared minus 11 x minus 4 over denominator 4 x squared minus 25 end fraction](data:image/png;base64,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)
Graph each function and identify the horizontal and vertical asymptotes
![straight F left parenthesis straight x right parenthesis equals fraction numerator 3 x squared minus 11 x minus 4 over denominator 4 x squared minus 25 end fraction](data:image/png;base64,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)
Maths-General
Maths-
Graph each function and identify the horizontal and vertical asymptotes
![r left parenthesis x right parenthesis equals fraction numerator 2 x squared plus 7 over denominator 1 plus 2 x plus x end fraction 2](data:image/png;base64,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)
Graph each function and identify the horizontal and vertical asymptotes
![r left parenthesis x right parenthesis equals fraction numerator 2 x squared plus 7 over denominator 1 plus 2 x plus x end fraction 2](data:image/png;base64,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)
Maths-General
Maths-
Write an equation of the line that passes through the point (4, 5) and is perpendicular to the graph of y = 2x + 3
Write an equation of the line that passes through the point (4, 5) and is perpendicular to the graph of y = 2x + 3
Maths-General
Maths-
Graph each function and identify the horizontal and vertical asymptotes
![straight F left parenthesis straight x right parenthesis equals fraction numerator 3 over denominator x minus 2 end fraction](data:image/png;base64,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)
Graph each function and identify the horizontal and vertical asymptotes
![straight F left parenthesis straight x right parenthesis equals fraction numerator 3 over denominator x minus 2 end fraction](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFwAAAAjCAYAAAAZm21MAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAmJJREFUeNrtmsFHBGEYxj8rK+mSrD10iHRIspZ0WEkiSTokOqwkiSQr+y+kS/aQDt06dogkSRJJkmRZSadE+h86ZCW29zXPMqad2Z3dma/ZnffHc9mZb2f38c37Pd87o5TATJAuSV+kIumNtEfqFmv84ZY0T4qaPkuSrsQavXyKBfroI72KDf4TJ62gjs+IHf5RsigrluihizRHypPGxQ59dMJ0QSPFIPyIDdKOi/N3MKbZSGDh/Pcf8VjHuAeMDSp3pAVSGymCnecHaVnnKl2W1bhkHd89TLoPsOFjpAuUkCJ2nrM6YpETSRheL/cwXqjR8Bwp08D3b7qs/aE3/Aq3Xpl21PMey3kxUgHHzaRIN2Jz7YZzIydq+WxIGW1NM1wLpyqMjyr7ZlCpBrX81tb6J39sxmVMsY9X9UOHa3zLvK59hv84HDvGNvhdOTftvzVNlCDKk5JijlVs5prDeCkpLg2/Jo1W+DyCyLeI+m2HLJoexcItZfSPmSVlPAu0q/U5sbmxjc8I6reZXRgvG58GDVfI3QlTDucy01XhvEuUkGbZ2geWVm1e1QuvaScIAxwanrGWecq6yy16rkp6aWa4y5hWxsMKZhCTKy33pj56SS9h+sOrNnfgNo7poBi2WfakjNcdynBs3dd07ZRqrI3dlEwjnjKTGjdcnNzyNhvElocj6ziSQ7WXMr1oLXA8PlOVO6WhIIuopiOO9sHs/rCaXc7Huxoi2gDpgNQRVrN5tp3DAM7HBeXfe95xtDbawmp2DG0Fs8H89P3Qp+tdYIaHEu63n6q/z1iZIyQXr3G9yP4ClXHHhVjO1t0AAADmdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pIG1hdGh2YXJpYW50PSJub3JtYWwiPkY8L21pPjxtbz4oPC9tbz48bWkgbWF0aHZhcmlhbnQ9Im5vcm1hbCI+eDwvbWk+PG1vPik8L21vPjxtbz49PC9tbz48bWZyYWM+PG1uPjM8L21uPjxtcm93PjxtaT54PC9taT48bW8+JiN4MjIxMjs8L21vPjxtbj4yPC9tbj48L21yb3c+PC9tZnJhYz48L21hdGg+KZpA4QAAAABJRU5ErkJggg==)
Maths-General
Maths-
Graph each function and identify the horizontal and vertical asymptotes
![straight F left parenthesis straight x right parenthesis equals to the power of x 2 minus 1](data:image/png;base64,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)
Graph each function and identify the horizontal and vertical asymptotes
![straight F left parenthesis straight x right parenthesis equals to the power of x 2 minus 1](data:image/png;base64,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)
Maths-General
Maths-
Write an equation of the line in slope-intercept form that passes through the point (-3, 5) and is parallel to
.
Write an equation of the line in slope-intercept form that passes through the point (-3, 5) and is parallel to
.
Maths-General
Maths-
What is the graph of f(x ![table attributes columnspacing 1em end attributes row cell 9 x squared minus 25 end cell row cell x squared minus 5 x minus 6 end cell end table](data:image/png;base64,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)
What is the graph of f(x ![table attributes columnspacing 1em end attributes row cell 9 x squared minus 25 end cell row cell x squared minus 5 x minus 6 end cell end table](data:image/png;base64,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)
Maths-General
General
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J _ _ p
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)
Direction : Fill in the blank with correct letter.
J _ _ p
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)
GeneralGeneral