Sequence and Polynomial Division Quiz
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Questions and Answers

What is the general form of an arithmetic sequence?

  • $a_n = a_1 imes r^{(n-1)}$
  • $a_n = a_1 + (n-1)d$ (correct)
  • $a_n = a_1 + d$
  • $a_n = a_1 imes (n-1)d$

    • What is the formula for the nth term of a geometric sequence?

  • $a_n = a_1 + d$
  • $a_n = a_1 imes (n-1)d$
  • $a_n = a_1 + (n-1)d$
  • $a_n = a_1 imes r^{(n-1)}$ (correct)

    • What is the result of dividing the polynomial $2x^3 + 3x^2 - 5x + 1$ by the polynomial $x-2$?

  • Quotient: $2x^2 + 7x + 11$, Remainder: $19$
  • Quotient: $2x^2 + 7x + 9$, Remainder: $-17$
  • Quotient: $2x^2 + 7x + 11$, Remainder: $-21$
  • Quotient: $2x^2 + 7x + 9$, Remainder: $19$ (correct)

    • What is the formula for the nth term of an arithmetic sequence?

    <p>$a_n = a_1 + (n-1)d$</p> Signup and view all the answers

    What is the formula for the nth term of a geometric sequence?

    <p>$a_n = a_1 imes r^{(n-1)}$</p> Signup and view all the answers

    What is the result of dividing the polynomial $3x^3 - 5x^2 + 2x + 1$ by the polynomial $x+2$?

    <p>Quotient: $3x^2 - 11x + 24$, Remainder: $-47$</p> Signup and view all the answers

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