Sequences and Pascal's triangle

[m_a_t_h]

I'm doing my math homework, but I'm stuck on this question. Can someone please help me?

A school hallway contains 50 lockers numbered 1 to 50. 1 student ensures they are closed. A second student opens every even-numbered locker. A third student changes the state of the lockers that are a multiple of 3, (To change the state of a locker means to close an opened locker or to open a closed locker.) A 4th student changes the state of all lockers that are a multiple of 4. This pattern continues for 50 students. After the last student, what is the sum of the numbers on the lockers that are closed?

 

[pka]

I'm doing my math homework, but I'm stuck on this question. Can someone please help me?

A school hallway contains 50 lockers numbered 1 to 50. 1 student ensures they are closed. A second student opens every even-numbered locker. A third student changes the state of the lockers that are a multiple of 3, (To change the state of a locker means to close an opened locker or to open a closed locker.) A 4th student changes the state of all lockers that are a multiple of 4. This pattern continues for 50 students. After the last student, what is the sum of the numbers on the lockers that are closed?

This link will give you some idea of how to start.

 

[mmm4444bot]

Hello m_a_t_h:

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Thank you! :cool:

 

[m_a_t_h]

This link will give you some idea of how to start.

Thank you, the link was very helpful.