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math (plz help)

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Ms. Sue has not answered this question where all work must be shown. Plz, Ms. Sue do not answer this one again. Let someone else help me...plz.

In a movie theater, Theater A has 30 seats in the first row. Each row has 4 more seats in it than the previous row has.

1) How many seats are in the 4th row?

2) Is there a row with exactly 60 seats in it?

3) Theater B has 40 seats in the first row and each row has 4 more seats than the previous row. If both Theater A and Theater B has 25 row, how many more seats does Theater B have in it than Theater A?

All work must be shown in order to get credit...thanks.

  • math (plz help) - ,

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  • math (plz help) - ,

    1)

    Numbers of seats in rows in Theater A:

    RA=FA+(n-1)*4

    FA=Numbers of seats in first row=30

    n-number of row

    RA=30+(n-1)*4

    first row has 30 seats

    second row has:
    30+(2-1)*4=30+1*4=30+4=34 seats

    third row has:
    30+(3-1)*4= 30+2*4=30+8=38 seats

    fourth row has:
    30+(4-1)*4=30+3*4=30+12=42 seats

    2)
    Numbers of seats in rows in Theater A:

    RA=FA+(n-1)*4

    FA=Numbers of seats in first row=30

    n-number of row

    RA=30+(n-1)*4

    first row has 30 seats

    second row has:
    30+(2-1)*4=30+1*4=30+4=34 seats

    third row has:
    30+(3-1)*4= 30+2*4=30+8=38 seats

    fourth row has:
    30+(4-1)*4=30+3*4=30+12=42 seats

    fifth row has:
    30+(5-1)*4=30+4*4=30+16=46 seats

    sixth row has:
    30+(6-1)*4=30+5*4=30+20=50 seats

    seventh row has:
    30+(7-1)*4=30+6*4=30+24=54 seats

    eighth row has:
    30+(8-1)*4=30+7*4=30+28=58 seats

    ninth row has:
    30+(9-1)*4=30+8*4=30+32=62 seats

    tenth row has:
    30+(10-1)*4=30+9*4=30+36=66 seats

    Is there a row with exactly 60 seats in it? NO

    3)

    In Teater B first row has 40 seats,and each row has 4 more seats in it than the previous row has.

    In Teater B first row has 30 seats,and each row has 4 more seats in it than the previous row has.


    40-30=10

    That means that each row in theatre B has 10 seats more then row in Theatre A.

    If both Theaters has 25 rows.

    Difference between numbers of seats in Theater A and Theater B is:

    25*10=250 seats

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