How do I express the following in set builder notation?
How do I express the following in set builder notation? I am struggling with these. I have tried already different ways but can't accommodate for example a sequence where the difference increases.
$${3, 6, 11, 18, 27, 38, ldots} \
{ldots, −pi, −pi/2, 0, pi/2, pi, ldots} \
{ldots, 1/27, 1/9, 1/3, 1, 3, 9, 27, ldots}$$
Thank you for your time.
elementary-set-theory
edited Nov 25 at 6:18
spaceisdarkgreen
32.1k21752
asked Nov 25 at 3:31
hitherematey
558
add a comment |
How do I express the following in set builder notation? I am struggling with these. I have tried already different ways but can't accommodate for example a sequence where the difference increases.
$${3, 6, 11, 18, 27, 38, ldots} \
{ldots, −pi, −pi/2, 0, pi/2, pi, ldots} \
{ldots, 1/27, 1/9, 1/3, 1, 3, 9, 27, ldots}$$
Thank you for your time.
elementary-set-theory
edited Nov 25 at 6:18
spaceisdarkgreen
32.1k21752
asked Nov 25 at 3:31
hitherematey
558
any answer given to this question is wrong, there are infinitely many answers for each one, just use Lagrange interpolation for the known values and the fact that the answer to this type of questions are not unique.
– Arjang
Nov 25 at 7:03
What? just because there a multiple ways does not mean it is wrong...
– hitherematey
Nov 25 at 15:33
there are infinitely many answers that work for the given values and also give infinitely many different values for the values that were not given, these type of questions do not contain sufficient information for a meaningful answer, they are just feel good questions that have no real value.
– Arjang
Nov 25 at 20:40
add a comment |
How do I express the following in set builder notation? I am struggling with these. I have tried already different ways but can't accommodate for example a sequence where the difference increases.
$${3, 6, 11, 18, 27, 38, ldots} \
{ldots, −pi, −pi/2, 0, pi/2, pi, ldots} \
{ldots, 1/27, 1/9, 1/3, 1, 3, 9, 27, ldots}$$
Thank you for your time.
elementary-set-theory
edited Nov 25 at 6:18
spaceisdarkgreen
32.1k21752
asked Nov 25 at 3:31
hitherematey
558
How do I express the following in set builder notation? I am struggling with these. I have tried already different ways but can't accommodate for example a sequence where the difference increases.
$${3, 6, 11, 18, 27, 38, ldots} \
{ldots, −pi, −pi/2, 0, pi/2, pi, ldots} \
{ldots, 1/27, 1/9, 1/3, 1, 3, 9, 27, ldots}$$
Thank you for your time.
elementary-set-theory
elementary-set-theory
edited Nov 25 at 6:18
spaceisdarkgreen
32.1k21752
asked Nov 25 at 3:31
hitherematey
558
edited Nov 25 at 6:18
spaceisdarkgreen
32.1k21752
asked Nov 25 at 3:31
hitherematey
558
edited Nov 25 at 6:18
spaceisdarkgreen
32.1k21752
edited Nov 25 at 6:18
spaceisdarkgreen
32.1k21752
edited Nov 25 at 6:18
spaceisdarkgreen
32.1k21752
32.1k21752
asked Nov 25 at 3:31
hitherematey
558
asked Nov 25 at 3:31
hitherematey
558
asked Nov 25 at 3:31
hitherematey
558
558
any answer given to this question is wrong, there are infinitely many answers for each one, just use Lagrange interpolation for the known values and the fact that the answer to this type of questions are not unique.
– Arjang
Nov 25 at 7:03
What? just because there a multiple ways does not mean it is wrong...
– hitherematey
Nov 25 at 15:33
there are infinitely many answers that work for the given values and also give infinitely many different values for the values that were not given, these type of questions do not contain sufficient information for a meaningful answer, they are just feel good questions that have no real value.
– Arjang
Nov 25 at 20:40
add a comment |
any answer given to this question is wrong, there are infinitely many answers for each one, just use Lagrange interpolation for the known values and the fact that the answer to this type of questions are not unique.
– Arjang
Nov 25 at 7:03
What? just because there a multiple ways does not mean it is wrong...
– hitherematey
Nov 25 at 15:33
there are infinitely many answers that work for the given values and also give infinitely many different values for the values that were not given, these type of questions do not contain sufficient information for a meaningful answer, they are just feel good questions that have no real value.
– Arjang
Nov 25 at 20:40
any answer given to this question is wrong, there are infinitely many answers for each one, just use Lagrange interpolation for the known values and the fact that the answer to this type of questions are not unique.
– Arjang
Nov 25 at 7:03
any answer given to this question is wrong, there are infinitely many answers for each one, just use Lagrange interpolation for the known values and the fact that the answer to this type of questions are not unique.
– Arjang
Nov 25 at 7:03
What? just because there a multiple ways does not mean it is wrong...
– hitherematey
Nov 25 at 15:33
What? just because there a multiple ways does not mean it is wrong...
– hitherematey
Nov 25 at 15:33
there are infinitely many answers that work for the given values and also give infinitely many different values for the values that were not given, these type of questions do not contain sufficient information for a meaningful answer, they are just feel good questions that have no real value.
– Arjang
Nov 25 at 20:40
there are infinitely many answers that work for the given values and also give infinitely many different values for the values that were not given, these type of questions do not contain sufficient information for a meaningful answer, they are just feel good questions that have no real value.
– Arjang
Nov 25 at 20:40
add a comment |
1 Answer
1
active
oldest
votes
Hint:
If the difference is linear, try to look solve for the coefficients where
$$a_n = an^2+bn+c$$
Also, perhaps subtracting $2$ from the original sequence can help you see something.
answered Nov 25 at 3:38
Siong Thye Goh
98.4k1463116
Thanks i can do the first 2, but still not the third
– hitherematey
Nov 25 at 3:45
don't focus on addition and subtraction.
– Siong Thye Goh
Nov 25 at 3:47
any answer given to this question is wrong, there are infinitely many answers for each one, just use Lagrange interpolation for the known values and the fact that the answer to this type of questions are not unique.
– Arjang
Nov 25 at 7:04
1
@Arjang I agree. I am just providing a possible candidate.
– Siong Thye Goh
Nov 25 at 7:17
add a comment |
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1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
Hint:
If the difference is linear, try to look solve for the coefficients where
$$a_n = an^2+bn+c$$
Also, perhaps subtracting $2$ from the original sequence can help you see something.
answered Nov 25 at 3:38
Siong Thye Goh
98.4k1463116
Thanks i can do the first 2, but still not the third
– hitherematey
Nov 25 at 3:45
don't focus on addition and subtraction.
– Siong Thye Goh
Nov 25 at 3:47
any answer given to this question is wrong, there are infinitely many answers for each one, just use Lagrange interpolation for the known values and the fact that the answer to this type of questions are not unique.
– Arjang
Nov 25 at 7:04
1
@Arjang I agree. I am just providing a possible candidate.
– Siong Thye Goh
Nov 25 at 7:17
add a comment |
Hint:
If the difference is linear, try to look solve for the coefficients where
$$a_n = an^2+bn+c$$
Also, perhaps subtracting $2$ from the original sequence can help you see something.
answered Nov 25 at 3:38
Siong Thye Goh
98.4k1463116
Thanks i can do the first 2, but still not the third
– hitherematey
Nov 25 at 3:45
don't focus on addition and subtraction.
– Siong Thye Goh
Nov 25 at 3:47
any answer given to this question is wrong, there are infinitely many answers for each one, just use Lagrange interpolation for the known values and the fact that the answer to this type of questions are not unique.
– Arjang
Nov 25 at 7:04
1
@Arjang I agree. I am just providing a possible candidate.
– Siong Thye Goh
Nov 25 at 7:17
add a comment |
Hint:
If the difference is linear, try to look solve for the coefficients where
$$a_n = an^2+bn+c$$
Also, perhaps subtracting $2$ from the original sequence can help you see something.
answered Nov 25 at 3:38
Siong Thye Goh
98.4k1463116
Hint:
If the difference is linear, try to look solve for the coefficients where
$$a_n = an^2+bn+c$$
Also, perhaps subtracting $2$ from the original sequence can help you see something.
answered Nov 25 at 3:38
Siong Thye Goh
98.4k1463116
answered Nov 25 at 3:38
Siong Thye Goh
98.4k1463116
answered Nov 25 at 3:38
Siong Thye Goh
98.4k1463116
answered Nov 25 at 3:38
Siong Thye Goh
98.4k1463116
98.4k1463116
Thanks i can do the first 2, but still not the third
– hitherematey
Nov 25 at 3:45
don't focus on addition and subtraction.
– Siong Thye Goh
Nov 25 at 3:47
any answer given to this question is wrong, there are infinitely many answers for each one, just use Lagrange interpolation for the known values and the fact that the answer to this type of questions are not unique.
– Arjang
Nov 25 at 7:04
1
@Arjang I agree. I am just providing a possible candidate.
– Siong Thye Goh
Nov 25 at 7:17
add a comment |
Thanks i can do the first 2, but still not the third
– hitherematey
Nov 25 at 3:45
don't focus on addition and subtraction.
– Siong Thye Goh
Nov 25 at 3:47
any answer given to this question is wrong, there are infinitely many answers for each one, just use Lagrange interpolation for the known values and the fact that the answer to this type of questions are not unique.
– Arjang
Nov 25 at 7:04
1
@Arjang I agree. I am just providing a possible candidate.
– Siong Thye Goh
Nov 25 at 7:17
Thanks i can do the first 2, but still not the third
– hitherematey
Nov 25 at 3:45
Thanks i can do the first 2, but still not the third
– hitherematey
Nov 25 at 3:45
don't focus on addition and subtraction.
– Siong Thye Goh
Nov 25 at 3:47
don't focus on addition and subtraction.
– Siong Thye Goh
Nov 25 at 3:47
any answer given to this question is wrong, there are infinitely many answers for each one, just use Lagrange interpolation for the known values and the fact that the answer to this type of questions are not unique.
– Arjang
Nov 25 at 7:04
any answer given to this question is wrong, there are infinitely many answers for each one, just use Lagrange interpolation for the known values and the fact that the answer to this type of questions are not unique.
– Arjang
Nov 25 at 7:04
1
1
@Arjang I agree. I am just providing a possible candidate.
– Siong Thye Goh
Nov 25 at 7:17
@Arjang I agree. I am just providing a possible candidate.
– Siong Thye Goh
Nov 25 at 7:17
add a comment |
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any answer given to this question is wrong, there are infinitely many answers for each one, just use Lagrange interpolation for the known values and the fact that the answer to this type of questions are not unique.
– Arjang
Nov 25 at 7:03
What? just because there a multiple ways does not mean it is wrong...
– hitherematey
Nov 25 at 15:33
there are infinitely many answers that work for the given values and also give infinitely many different values for the values that were not given, these type of questions do not contain sufficient information for a meaningful answer, they are just feel good questions that have no real value.
– Arjang
Nov 25 at 20:40