IM Alg2.1.3 Lesson: Different Types of Sequences
Consider the function given by . This function takes an input, multiplies it by 3, then subtracts 7. Evaluate mentally.
Evaluate mentally.
Evaluate mentally.
Evaluate mentally.
Here are the values of the first 5 terms of 3 sequences:
If the patterns you described continue, which sequence has the second greatest value for the 10th term?
Which of these could be geometric sequences? Explain how you know.
Elena says that it’s not possible to have a sequence of numbers that is both arithmetic and geometric.
Do you agree with Elena? Explain your reasoning.
Jada and Mai are trying to decide what type of sequence this could be:
Jada says: “I think this sequence is geometric because in the value column each row is 3 times the previous row.” Mai says: “I don’t think it is geometric. I graphed it and it doesn’t look geometric.” Do you agree with Jada or Mai? Explain or show your reasoning.