Find a quadratic model for the sequence with the indicated terms. A₀ = -3,a₂ = 2,a₄ = 10 A)an = $\frac {3 } { 8 }$ n² - $\frac { 7 } { 4 }$ n - 3 B)a_n = 3n² + $\frac { 7 } { 4 }$ n + $\frac {3 } { 8 }$ C)a_n = $\frac {3 } { 8 }$ n² + $\frac { 7 } { 4 }$ n + 3 D)a_n = $\frac {3 } { 8 }$ n² + $\frac { 7 } { 4 }$ n - 3 E)an = -3n²+ $\frac { 7 } { 4 }$ n + $\frac {3 } { 8 }$

Question

Quizplus · Accepted Answer

The quadratic model that fits the given sequence values is found by substituting the given n values and the corresponding a_n values into the general quadratic equation form an = A*n^2 + B*n + C, and solving for A, B, and C. The correct model is D because it correctly represents the pattern of change in the sequence values.

Find a Quadratic Model for the Sequence with the Indicated 38\frac {3 } { 8 }83​

Find a Quadratic Model for the Sequence with the Indicated $\frac {3 } { 8 }$