[size=150]Consider the function [math]f[/math] given by [math]f(n)=3n-7[/math]. This function takes an input, multiplies it by 3, then subtracts 7. [br][br][/size]Evaluate [math]f(10)[/math] mentally.

Evaluate [math]f(10)-1[/math] mentally.

Evaluate [math]f(10-1)[/math] mentally.

Evaluate [math]f(5)-f(4)[/math] mentally.

[*][math]A[/math]: 30, 40, 50, 60, 70, . . .[/*][*][math]B[/math]: 0, 5, 15, 30, 50, . . .[/*][*][math]C[/math]: 1, 2, 4, 8, 16, . . .[/*][br]For each sequence, describe a way to produce a new term from the previous term.[br]

If the patterns you described continue, which sequence has the second greatest value for the 10[sup]th[/sup] term?[br]

Which of these could be geometric sequences? Explain how you know.[br]

Do you agree with Elena? Explain your reasoning.

Jada says: “I think this sequence is geometric because in the value column each row is 3 times the previous row.”[br]Mai says: “I don’t think it is geometric. I graphed it and it doesn’t look geometric.”[br][br]Do you agree with Jada or Mai? Explain or show your reasoning.