Sequences Formulas

Identify the common ratio for the given geometric sequence.

• r = 4

• r = 3

• r = 12

Which of the following recursive formulas represents the given sequence.

Which of the following recursive formulas represents the given sequence.

Find a₄.

9, 6, 3, 0, -3, ...

• 9

• 6

• 0

• -4

Find an explicit rule for the nth term of the sequence

• a_n= 36n-337

• a_n= -201+36(n-1)

• a_n= 37n-338

• a_n= -301+37(n-1)

Simone's grandmother gives them $1000 to start a college fund. The grandmother will then add $200 each month if Simone adds $20 each month. What is a formula that would tell us the amount of money in the fund after x months? You do NOT need a_n in your formula.

Mathematical Equivalence

ON

Simone's grandmother gives them $1000 to start a college fund. The grandmother will then add $200 each month if Simone adds $20 each month. What is a formula that would tell us the amount of money in the fund after x months? You do NOT need a_n in your formula.

Mathematical Equivalence

ON

Find an explicit rule for the nth term of the sequence.

• a_n= 7(-1)^n-1

• a_n= -7(1)^n-1

• a_n= 7(-1)ⁿ

• a_n= 7(1)^n-1

Find a₇.

15, 20, 25, 30, 35, ...

• 25

• 35

• 40

• 45

Find a₆.

1, 3, 9, 27, 81, ...

• 243

• 81

• 729

• 3