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What is the sum of all integers between 17 and 325 that are NOT divisible by either the number 7 or the number 11? [closed]

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$begingroup$

What is the sum of all integers between 17 and 325 that are NOT divisible by either
the number 7 or the number 11? Sigma notation and other inference/logic rules must be used to solve this problem.

A couple of my friends got 41289 as a final answer while me and a few others got 46902. Could someone please clarify?

discrete-mathematics

share|cite|improve this question

asked Mar 15 at 2:16

EagerissacEagerissac

163

$endgroup$

closed as off-topic by Saad, mrtaurho, Vinyl_cape_jawa, Riccardo.Alestra, Mike Earnest Mar 15 at 15:49

This question appears to be off-topic. The users who voted to close gave this specific reason:

• "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Saad, mrtaurho, Vinyl_cape_jawa, Riccardo.Alestra, Mike Earnest

If this question can be reworded to fit the rules in the help center, please edit the question.

• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  $begingroup$
  Find the sum of all integers between 17 and 325, subtract the sums of the multiples of 7 and 11, then add back in the sums of multiples of 77.
  $endgroup$
  – Don Thousand
  Mar 15 at 2:17
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  The answer should be 41289
  $endgroup$
  – Don Thousand
  Mar 15 at 2:54
  

  
  
  
  

add a comment | 

0

$begingroup$

What is the sum of all integers between 17 and 325 that are NOT divisible by either
the number 7 or the number 11? Sigma notation and other inference/logic rules must be used to solve this problem.

A couple of my friends got 41289 as a final answer while me and a few others got 46902. Could someone please clarify?

discrete-mathematics

share|cite|improve this question

asked Mar 15 at 2:16

EagerissacEagerissac

163

$endgroup$

closed as off-topic by Saad, mrtaurho, Vinyl_cape_jawa, Riccardo.Alestra, Mike Earnest Mar 15 at 15:49

This question appears to be off-topic. The users who voted to close gave this specific reason:

• "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Saad, mrtaurho, Vinyl_cape_jawa, Riccardo.Alestra, Mike Earnest

If this question can be reworded to fit the rules in the help center, please edit the question.

• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  $begingroup$
  Find the sum of all integers between 17 and 325, subtract the sums of the multiples of 7 and 11, then add back in the sums of multiples of 77.
  $endgroup$
  – Don Thousand
  Mar 15 at 2:17
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  The answer should be 41289
  $endgroup$
  – Don Thousand
  Mar 15 at 2:54
  

  
  
  
  

add a comment | 

$begingroup$

What is the sum of all integers between 17 and 325 that are NOT divisible by either
the number 7 or the number 11? Sigma notation and other inference/logic rules must be used to solve this problem.

A couple of my friends got 41289 as a final answer while me and a few others got 46902. Could someone please clarify?

discrete-mathematics

share|cite|improve this question

asked Mar 15 at 2:16

EagerissacEagerissac

163

$endgroup$

share|cite|improve this question

asked Mar 15 at 2:16

EagerissacEagerissac

163

share|cite|improve this question

asked Mar 15 at 2:16

EagerissacEagerissac

163

asked Mar 15 at 2:16

EagerissacEagerissac

163

asked Mar 15 at 2:16

EagerissacEagerissac

163

1 Answer
1

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oldest

votes

0

$begingroup$

The basic idea is to sum all the integers between 17 and 325, then subtract out multiple of 7 and 11, then add back in elements you double subtracted, i.e 77.

Here's some Python code to check your answer, as this is annoying to do by hand.

import numpy as np

a = np.arange(17,326,1)
b = np.arange(17, 325, 7)
c = np.arange(17, 326, 11)
d = np.arange(17, 326, 77)

print((np.sum(a)) - np.sum(b) - np.sum(c) + np.sum(d))

share|cite|improve this answer

answered Mar 15 at 2:55

EthanEthan

163

$endgroup$

add a comment | 

0

$begingroup$

The basic idea is to sum all the integers between 17 and 325, then subtract out multiple of 7 and 11, then add back in elements you double subtracted, i.e 77.

Here's some Python code to check your answer, as this is annoying to do by hand.

import numpy as np

a = np.arange(17,326,1)
b = np.arange(17, 325, 7)
c = np.arange(17, 326, 11)
d = np.arange(17, 326, 77)

print((np.sum(a)) - np.sum(b) - np.sum(c) + np.sum(d))

share|cite|improve this answer

answered Mar 15 at 2:55

EthanEthan

163

$endgroup$

add a comment | 

0

$begingroup$

The basic idea is to sum all the integers between 17 and 325, then subtract out multiple of 7 and 11, then add back in elements you double subtracted, i.e 77.

Here's some Python code to check your answer, as this is annoying to do by hand.

import numpy as np

a = np.arange(17,326,1)
b = np.arange(17, 325, 7)
c = np.arange(17, 326, 11)
d = np.arange(17, 326, 77)

print((np.sum(a)) - np.sum(b) - np.sum(c) + np.sum(d))

share|cite|improve this answer

answered Mar 15 at 2:55

EthanEthan

163

$endgroup$

add a comment | 

$begingroup$

The basic idea is to sum all the integers between 17 and 325, then subtract out multiple of 7 and 11, then add back in elements you double subtracted, i.e 77.

Here's some Python code to check your answer, as this is annoying to do by hand.

import numpy as np

a = np.arange(17,326,1)
b = np.arange(17, 325, 7)
c = np.arange(17, 326, 11)
d = np.arange(17, 326, 77)

print((np.sum(a)) - np.sum(b) - np.sum(c) + np.sum(d))

share|cite|improve this answer

answered Mar 15 at 2:55

EthanEthan

163

$endgroup$

import numpy as np

a = np.arange(17,326,1)
b = np.arange(17, 325, 7)
c = np.arange(17, 326, 11)
d = np.arange(17, 326, 77)

print((np.sum(a)) - np.sum(b) - np.sum(c) + np.sum(d))

share|cite|improve this answer

answered Mar 15 at 2:55

EthanEthan

163

answered Mar 15 at 2:55

EthanEthan

163

answered Mar 15 at 2:55

EthanEthan

163