A theater has 34 seats in the first raw, 41 in the second row, 48 in the third row, and so on. Create a function to represent the arithmetic sequence.

93 seats in row 15

Step-by-step explanation:

a(n) = a1 + d(n-1)

This is an arithmetic sequence since the common difference is d = 41 - 37 = 4 each time.

First term: a1 = 37

Common Difference: d = 4

a(n) = 37 + 4(n-1)

a(n) = 37 + 4n-4

a(n) = 4n + 33

a(15) = 4(15) + 33

a(15) = 60 + 33

a(15) = 93

There are 93 seats in row 15.

because linear equations are a lot simpler than quadratics equations, and linear equations formula is a lot easier to memorize. that's why i think they're harder.

-362

step-by-step explanation:

(12)(4)+2(12)-34(12)+2(12)-3

  \/         \/         \/         \/

  48 +   24 -   408 + 24 - 3

      \   /               \   /

          72     -     432 - 3 = -363