Staar Algebra Arithmetic and Geometric Sequences Writing Rules

Which kind of sequence has a common difference?

• Arithmetic

• Geometric

Create the formula for the arithmetic sequence:
2, 8, 14, ...

• a_n = 2+6n

• a_n = -6+6n

• a_n= -4+6n

• a_n = 4-6n

Create the formula for the arithmetic sequence:
18, 20, 22, 24...

• a_n = 16+2n

• a_n = -16+2n

• a_n= 2-16n

• a_n = 2+16n

Create the formula for the arithmetic sequence:
-10, -3, 4, 11...

• a_n = 17-7n

• a_n = -17+7n

• a_n= -17-7n

• a_n = 17+7n

• 6, 24, 96, 384

• 6, 10, 14, 18

• 6, 20, 100, 500

• 6, 20, 76, 300

Write the explicit rule for the following geometric sequence: 2, -12, 72, ...

• a_n = 72(-6)^n-1

• a_n = 2(-6)^n-1

• a_n = 2(6)^n-1

• a_n = 72(-6)^n-1

Write the explicit rule for this situation in simplified form.

• f(n) = −8n + 60

• f(n) = 8n + 44

• f(n) = −8n + 52

• f(n) = f(n − 1) − 8

Create the formula for the arithmetic sequence:
6, 11, 16, 21...

• a_n = -1-5n

• a_n = -1+5n

• a_n= 1+5n

• a_n = 1-5n

Create the formula for the geometric sequence:
1, 4, 16, 64...

• a_n = 3^n-1

• a_n = 2^n-1

• a_n = 5^n-1

• a_n = 4^n-1

Create the formula for the geometric sequence:
-2, 10, -50, 250...

• a_n = 2(-5)^n-1

• a_n = -2(-5)^n-1

• a_n = -2(5)^n-1

• a_n = 2(5)^n-1