Maths-
General
Easy
Question
Write recursive formula and find the first term. ![a subscript n equals 7 plus 1 fourth n](data:image/png;base64,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)
Hint:
- Recursive Formula is a formula that defines the each term of sequence using the previous/preceding terms.
The correct answer is: a_n=a_(n-1)+1/4
Explanation:
- We have given a explicit function
.
- We have to find the recursive formula and first term.
Step 1 of 2:
We have given explicit formula
.
First term 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 7 plus 1 fourth n end cell row cell a subscript n equals 7 plus 1 fourth left parenthesis 1 right parenthesis end cell row cell a subscript n equals 29 over 4 end cell end table](data:image/png;base64,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)
Step 2 of 2:
Now for recursive formula we will calculate .
So,
![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 7 plus 1 fourth left parenthesis n minus 1 right parenthesis end cell row cell a subscript n minus 1 end subscript equals 7 plus 1 fourth n minus 1 fourth end cell row cell a subscript n minus 1 end subscript equals a subscript n minus 1 fourth end cell row cell a subscript n equals a subscript n minus 1 end subscript plus 1 fourth end cell end table](data:image/png;base64,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)
Step 2 of 2:
Now for recursive formula we will calculate .
So,
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Write an equation of a line that passes through the given line and is parallel to the given line.
![left parenthesis 2 comma 7 right parenthesis semicolon space 3 x minus y equals 5](data:image/png;base64,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)
Write an equation of a line that passes through the given line and is parallel to the given line.
![left parenthesis 2 comma 7 right parenthesis semicolon space 3 x minus y equals 5](data:image/png;base64,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)
Maths-General
Maths-
Write recursive formula and find the first term. ![a subscript n equals 7 over 2 minus 3 n](data:image/png;base64,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)
Write recursive formula and find the first term. ![a subscript n equals 7 over 2 minus 3 n](data:image/png;base64,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)
Maths-General
Maths-
Write an equation of a line that passes through the given line and is parallel to the given line.
![left parenthesis 5 comma negative 4 right parenthesis semicolon space y equals 1 fifth x minus 4](data:image/png;base64,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)
Write an equation of a line that passes through the given line and is parallel to the given line.
![left parenthesis 5 comma negative 4 right parenthesis semicolon space y equals 1 fifth x minus 4](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAI8AAAAjCAYAAACtvVkGAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAr5JREFUeNrtmsFLG0EUxheRIKU3EQ89FKQUDyUExEMp4kUklBJEkOJBShGkSCjBu3gQIfSQk5cePEgogSIeShFBeigiIpRSQilF8F/w0INIEPRNfIFlnd3MZpN9M/X7wQdJ3MSXN9/MvNkXzwNSPCWtkn4hFSAuVdIS6RqpAJ0C8wCYB8A8AOYBMA8AMA+AeSJYJpUdirfMMcM8wmRJxw7GfcSxwzzCg5ALfKkwSfAq5H+PkQ4dNY0NeU2a/6ZpjiyeEQ9JfyJiOmQTAYH8fyAVLTbPR9JiREzvHavVXCMy//ukCUvN84L0rU1Mz33XmLJFeq15vUTasHQQF0MmyTr/TST//0gZC82jYqqTHreJKcPfoUWNr52J+Ow3vOL6eUA6JQ0a1igSNctP0rDv+VvSpmT+r0KS1eBB2SOt8N6X9lG8aGjoRkzzvCR9Dry25t3+xsZm8qQKP57qYMXtev6vIj6gn4tRldS/pNEunCpMZmw2ZhHfiBmXWl1++54Pkc5IAymdrJKsZAekSe/2h2SD0vnXbVs6pknfU5phJ6QnhuYJblumXPgeV7je6fYg9IIST5asDfk/4MLIhEvB+yBhA9VJwdw64o+w1KrT58DJR43TDpt93ob8647qOp5xkqUIm91FTfFrwjapQPpEWnDAOMrkX7iwV/XnD4Ntq+f5190k3OUZ3cfKs3FmA9eZFKe9Nk/wJqFpTCU+stcdMM4QH1z8ZlF3fasWTN5mX8u/h87xsVUV0+d8MhnXvE/aPLr2hGlMM3xdwXLjZHgyPwrJf17aPEkaozU++koQ1hg1iangpd8Mtq1n2DXeefFv8+f4yNsvEK+qc5YSxLTHW7MNddu9RC2lww7GpIr/rxYV/QDAPADmAZaaR7pnCBwnac8QgCZp9gzBf8glUgA6QbpnCBzBtGcIwB1Me4bWcwMBSf33Vh+TIQAAAPd0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bW8+KDwvbW8+PG1uPjU8L21uPjxtbz4sPC9tbz48bW8+JiN4MjIxMjs8L21vPjxtbj40PC9tbj48bW8+KTwvbW8+PG1vPjs8L21vPjxtbz4mI3hBMDs8L21vPjxtaT55PC9taT48bW8+PTwvbW8+PG1mcmFjPjxtbj4xPC9tbj48bW4+NTwvbW4+PC9tZnJhYz48bWk+eDwvbWk+PG1vPiYjeDIyMTI7PC9tbz48bW4+NDwvbW4+PC9tYXRoPpLSTD4AAAAASUVORK5CYII=)
Maths-General
Maths-
Write recursive formula and find the first term. ![a subscript n equals 35 plus 52 n](data:image/png;base64,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)
Write recursive formula and find the first term. ![a subscript n equals 35 plus 52 n](data:image/png;base64,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)
Maths-General
Maths-
Write recursive formula and find the first term. ![a subscript n equals 12 n minus 29](data:image/png;base64,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)
Write recursive formula and find the first term. ![a subscript n equals 12 n minus 29](data:image/png;base64,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)
Maths-General
Maths-
Identify the asymptotes and sketch the graph of ![straight g left parenthesis straight x right parenthesis equals fraction numerator straight x squared minus 5 straight x plus 6 over denominator 2 straight x squared minus 10 end fraction](data:image/png;base64,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)
Identify the asymptotes and sketch the graph of ![straight g left parenthesis straight x right parenthesis equals fraction numerator straight x squared minus 5 straight x plus 6 over denominator 2 straight x squared minus 10 end fraction](data:image/png;base64,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)
Maths-General
Maths-
Write recursive formula and find the first term. ![a subscript n equals 108 minus n](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAF0AAAARCAYAAAC/66DUAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAidJREFUeNrtl0EoREEYx7dNmyQlSXJwkYODlIMkaS+SpE057FlpT3JQDpIk5eAgByVJksumzUFykRyV5CQpJ0lSe5JeUvxH/834zOx75b1Mev/6Hd5n3pr3zTfffyaRcFetYBZclhlTA9bAGVlnTKoKrIJn4IEj0JSI9UM7YBy8lxlzDIa15yHGpDbBIqgAKbDERYplkS3po6xeqRWQFTFPPCfBqwsfpyYyDx45IbWtmx1O+h7oN8TT/Jsu1VaqxbfeRTTfOTAFGsAWeAFFMGEafMDKqeWk8iDzy2T58ZukF9kqpFIsHF2r4qO7wXJESc/zf6mE9zGXTdxtVfrALAfr2gaDDlf6W5l3ZOtoZ0xxCh5Ab0TzvaEXmYqkTg+ccPV1nTreXsolXe/h6ht2QaO2MzrBLRcjzF2aZCuTqmCb+aYXvuD3skvt5dHSXipFeylYkptmsYWpLstvdpviT+K5B1w4fnpRZjlgiPcLI/UC7ogwlGUvDxS/Z4WUNGs4AbiW9BGwYYhviSPjFWgxjGtjbw9TyrDHgsYXeJtLaj3w0PLD17yEnNOYpv8o6SUvmtQuPTP0Irk4V2wnSZJmT8+FPNeC5fBhi39OOM8qL/XFjMEo3nhbVMegDrpyVMn284Ba3jY9+tK6OI/rF6kLFonHhclEMOei6Bh+8R+qtxjFuej9x/GlOVpleX73M45YIRtFLoBxxIrQKPYdubX+a0lDCGwQsb70AX6snn+gbCOcAAAAkXRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtc3ViPjxtaT5hPC9taT48bWk+bjwvbWk+PC9tc3ViPjxtbz49PC9tbz48bW4+MTA4PC9tbj48bW8+JiN4MjIxMjs8L21vPjxtaT5uPC9taT48L21hdGg+GQkjXgAAAABJRU5ErkJggg==)
Write recursive formula and find the first term. ![a subscript n equals 108 minus n](data:image/png;base64,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)
Maths-General
Maths-
Are graphs of the equations parallel, perpendicular or neither?
![y equals 4 x plus 1 space straight & space y equals negative 4 x minus 2](data:image/png;base64,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)
Are graphs of the equations parallel, perpendicular or neither?
![y equals 4 x plus 1 space straight & space y equals negative 4 x minus 2](data:image/png;base64,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)
Maths-General
Maths-
Write recursive formula and find the first term. ![a subscript n equals 10 plus 8 n](data:image/png;base64,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)
Write recursive formula and find the first term. ![a subscript n equals 10 plus 8 n](data:image/png;base64,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)
Maths-General
Maths-
Are graphs of the equations parallel, perpendicular or neither?
![x minus 3 y equals 6 space straight & space x minus 3 y equals 9](data:image/png;base64,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)
Are graphs of the equations parallel, perpendicular or neither?
![x minus 3 y equals 6 space straight & space x minus 3 y equals 9](data:image/png;base64,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)
Maths-General
Maths-
What is the graph of ![f left parenthesis x right parenthesis equals fraction numerator 4 x squared minus 9 over denominator x squared plus 2 x minus 15 end fraction](data:image/png;base64,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)
What is the graph of ![f left parenthesis x right parenthesis equals fraction numerator 4 x squared minus 9 over denominator x squared plus 2 x minus 15 end fraction](data:image/png;base64,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)
Maths-General
Maths-
Find the equation for a path that passes through the point (-4, 9) and is parallel to
.
Find the equation for a path that passes through the point (-4, 9) and is parallel to
.
Maths-General
Maths-
Write explicit formula. ![a subscript n equals a subscript n minus 1 end subscript minus 7 semicolon a subscript 1 equals negative 3](data:image/png;base64,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)
Write explicit formula. ![a subscript n equals a subscript n minus 1 end subscript minus 7 semicolon a subscript 1 equals negative 3](data:image/png;base64,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)
Maths-General
Maths-
Write explicit formula. ![a subscript n equals a subscript n minus 1 end subscript plus 1 semicolon a subscript 1 equals 12](data:image/png;base64,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)
Write explicit formula. ![a subscript n equals a subscript n minus 1 end subscript plus 1 semicolon a subscript 1 equals 12](data:image/png;base64,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)
Maths-General