Write the first six terms of the sequence beginning with the given term.Then calculate the first and second differences of the sequence.State whether the sequence has a linear model,a quadratic model,or neither. A₁ = 2 A_n = an_{- 1} + 2 A)2,4,6,8,10,12 First differences: 0,0,0,0 Second differences: 2,2,2,2,2 Quadratic B)0,2,4,6,8,10 First differences: 0,0,0,0 Second differences: 2,2,2,2,2 Linear C)0,2,4,6,8,10 First differences: 2,2,2,2,2 Second differences: 0,0,0,0 Quadratic D)2,4,6,8,10,12 First differences: 2,2,2,2,2 Second differences: 0,0,0,0 Linear E)0,2,4,6,8,10 First differences: 2,2,2,2,2 Second differences: -1,-1,-1,-1 Quadratic

Question

Quizplus · Accepted Answer

The first and second differences of the sequence in choice D are consistent with a linear model, while the other choices have inconsistent differences with either a linear or quadratic model. Therefore, D is the best choice.

Write the First Six Terms of the Sequence Beginning with the Given