Sequences

Determine whether the sequence is arithmetic, geometric, or neither.

• arithmetic
• geometric
• neither

Determine whether the sequence is arithmetic, geometric, or neither.

• arithmetic
• geometric
• neither

Find the common ratio for the geometric sequence.

• 10
• 1/2
• 2
• 4

Write the explicit formula for the geometric sequence.

• a_n = 4(3)^n-1
• a_n = 3(4)^n-1
• a_n = -4(3)^n-1
• a_n = 3(-4)^n-1

Given the recursive formula, find the first four terms:
a_n = a_n-1 + 5
a₁ = -16

• -16, -21, -26, -31
• 5, -11, -27, -43
• -16, -80, -500, -200
• -16, -11, -6, -1

Which of the following recursive formulas represents the given sequence.

7, 14, 28, 56, 112, ...

• $a_1=7$ , $a_n=a_{\left(n-1\right)}+7$

• $a_1=7$ , $a_n=a_{\left(n-1\right)}\cdot7$

• $a_1=7$ , $a_n=a_{\left(n-1\right)}\cdot2$

• $a_1=7$ , $a_n=a_{\left(n-1\right)}+14$

Given the recursive formula, find the first four terms:
a_n = a_n-1 + 5
a₁ = -16

• -16, -21, -26, -31
• 5, -11, -27, -43
• -16, -80, -500, -200
• -16, -11, -6, -1

Find the next three terms for the arithmetic sequence
12, 7, 2, -3, ...

• 8, 13, 18
• -8, -13, -18
• -7, -11, -15
• 7, 11, 15

Identify the common difference.

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

• d=4

• d=3

• d=-4

• d=-3

What is the 15th term of the sequence an = -3n+50

• 95
• -5
• 5
• -95