Elena is making chocolates. She starts by melting a block of chocolateshaped like a rectangular prism. Then she pours the melted chocolateinto

Elena is making chocolates. She starts by melting a block of chocolate shaped like a rectangular prism. Then she pours the melted chocolate
into molds shaped like rectangular prisms. How many chocolates can
Elena make with the block of chocolate?


[tex]Elena is making chocolates. She starts by melting a block of chocolate shaped like a rectangular[/tex]

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  1. answer: - (a)[tex]a_n=16+6n[/tex]

    (b) 88 seats

    step-by-step explanation:

    given: in an auditorium, there are 22 seats in the first row and 28 seats in the second row.

    thus first term= [tex]a_1 =22[/tex]

    second term= [tex]a_2 =28[/tex]

    the number of seats in a row continues to increase by 6 with each additional row.

    ⇒d= 6

    a) given formula : [tex]a_n=a_1+(n-1)(d)[/tex]

    [tex]a_n=22+(n-1)6\\\rightarrow\ a_n=22+6n-6\\\rightarrow\ a_n=16+6n[/tex]

    b)   let the number of seats (n) = 12

    substitute n=12 in the explicit rule formed in (a)

    [tex]a_{12} = 16+6\times12\\\rightarrow\ a_{12}=16+72\\\rightarrow\ a_{12}=88\ seats[/tex]

    ∴there are 88 seats in 12 rows.

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