Pre-calculus help?

Question

Sequence1: 1/2, 7/6,11/6,5/2..

sequence2:1/2,1/3,2/9,4/27,…

determine whether each sequence below is arithmetic or not. Provide support for your conclusion

Answer 1

Hi Bear,

Remember that in arithmetic sequences there is a constant difference between consecutive terms.

Is this the case in your sequences? Let's substract consecutive terms (a₂-a₁, a₃-a₂, a₄-a_3, etc) and check.

For sequence 1: 7/6-1/2 = 7/6-3/6 = 4/6

11/6- 7/6 = 4/6

5/2- 11/6 = 15/6- 11/6 = 4/6

Yes!

For sequence 2: 1/3-1/2 = 2/6 - 3/6 = -1/6

2/9- 1/3 = 2/9-3/9 = -1/9

Already no!