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 = 0 A_n = an_{- 1} + 5 A)0,5,10,15,20,25 First differences: 0,0,0,0 Second differences: 5,5,5,5,5 Quadratic B)0,5,10,15,20,25 First differences: 5,5,5,5,5 Second differences: 0,0,0,0 Linear C)0,5,10,15,20,25 First differences: 5,5,5,5,5 Second differences: -1,-1,-1,-1 Quadratic D)0,5,10,15,20,25 First differences: 5,5,5,5,5 Second differences: 0,0,0,0 Quadratic E)0,5,10,15,20,25 First differences: 0,0,0,0 Second differences: 5,5,5,5,5 Linear

Question

Quizplus · Accepted Answer

The sequence has a constant first difference of 5 and a second difference of 0, indicating a linear model. Option B is the only choice with this property.

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