Sequence Equations

Generate the first 4 terms of the sequence with the following n^th term rule...

3n + 7

• 10, 13, 16, 19...

• 7, 10, 13, 16...

• 10, 14, 18, 22...

• 10, 17, 24, 31...

Find the common difference: -34, -29, -24, -19, ...

• d = -5

• d = 5

• d = -6

• d = 6

Find the next three terms in the arithmetic sequence: 9, 19, 29, 39, ...

• 45, 54, 63

• 49, 59, 69

• 39, 49, 59

• 59, 69, 79

Create the explicit formula for the sequence:
2, 8, 14, ...
(Hint:  Write your formula and then simplify it.)

• a_n=2+6n

• a_n=-6+6n

• a_n=6n-4

• a_n=4-6n

Find the 35th term in the arithmetic sequence: -10, -14, -18, -22, ...

• -216

• -148

• -146

• -150

Find a₂₆ in the arithmetic sequence: -15, -35, -55, -75, ...

• -515

• -490

• -535

• 460

What is the common ratio for the sequence:
28, 14, 7, 3.5...

• 2

• 1/2

• -14

• -7

Find the next three terms: 4, 12, 36, 108, ...

• 324, 972, 2916

• 972, 2916, 8748

• 405, 1215, 3645

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

Find the general rule for: 64, -32, 16, -8, …  

• 64(1/2)^n-1

• (-32)^n-1

• 64(-1/2)^n-1

• (32)^n-1