F.BF.1 - Write Expressions

Which explicit formula is represented by the graph?

• 3-2(n-1)

• -2+3(n-1)

• -3+2(n-1)

• 2+3(n-1)

What is the 10th term of the arithmetic sequence defined by formula shown

• 3

• 4 1/3

• 4

• 12

What is the common ratio of the sequence 6, -3, 1.5, -0.75?

• -2

• -0.5

• 0.5

• 2

Determine whether the sequence 0.2, 1, 5, 25, ... is arithmetic or geometric. Then identify the next term in the sequence.

• arithmetic; 75

• arithmetic; 125

• geometric; 75

• geometric; 125

Determine whether the sequence -184, -207, -230, -253, ... is arithmetic or geometric. Then identify the next term in the sequence.

• arithmetic; -23

• arithmetic; -276

• geometric; -23

• geometric; -276

What is the next term in the sequence 1.35, 4.49, 7.63, 10.77, 13.91, ...?

• 20.19

• 3.14

• -1.79

• 17.05

Which sequence has a common ratio of -3? Select all that apply.

• 9, 6, 3, 0, -3

• -1, 3, -9, 27, -81

• -9, -12, -15, -18, -21

• 1, -3, 9, -27, 81

Which sequence has a common difference of 1.25? Select all that apply.

• 0, -1.25, -2.5, -3.75, -5

• 0, 1.25, 2.5, 3.75, 5

• 1, 1.25, 1.5625, 1.953125

• 1, 2.25, 3.5, 4.75, 6

Which formula is used to find the explicit equation for arithmetic sequences?

• a_n = a_(n-1) + d
• a_n = a_(n-1) * r
• a_n = a₁ + d(n-1)
• a_n = a₁ * r^n-1

Which formula is used to find the explicit equation for geometric sequences?

• a_n = a_(n-1) + d
• a_n = a_(n-1) * r
• a_n = a₁ + d(n-1)
• a_n = a₁ * r^n-1