Find a quadratic model for the sequence with the indicated terms. A₀ = 3, a₁ = 3, a₄ = 15 A)an = n² - n + 15 B)an = n²+ n - 3 C)an = n²- n - 3 D)an = n²+ n + 3 E)an = n² - n + 3

Question

Quizplus · Accepted Answer

The correct quadratic model for the given sequence is $a_n = n^2 - n + 3$. This can be determined by plugging in the given terms into the quadratic formula and solving for the coefficients. The given terms are: $a_{10} = 3$, $a_{11} = 3$, and $a_{14} = 15$. By substituting these values into the general form of a quadratic equation $a_n = an^2 + bn + c$, we can solve for $a$, $b$, and $c$, which leads to the equation $a_n = n^2 - n + 3$.

Find a Quadratic Model for the Sequence with the Indicated