Sequences Opener

What does r represent?

• Radical

• Common difference

• Common ratio

What does n represent?

• Number

• Nothing

• Term you are trying to find

What does a₁ represent?

• Any term

• First term

• Last term

What do we call this sequence: 6,18,54,162,…

• Arithmetic Sequence

• Geometric Sequence

• Fibonacci Sequence

• Triangular Sequence

Find the sequence; 2, 4, 8, 16, 32...............

• add 4
• multiply by 2
• add 2

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

Find the first four terms of the sequence given the rule:
a_n = 4(5)^n-1

• 20, 100, 500, 2500
• 5, 20, 80, 320
• 4, 20, 100, 500
• 4, 9, 14, 19

Write the explicit equation for the geometric sequence:

10, 20, 40, 80, ...

Given the sequence:

125, 25, 5, ....

Write the rule a_n using the geometric sequence formula:

• a_n = (125)(1/5)^(n-1)

• a_n = 625(1/5)^(n-1)

• a_n = 625(5)^(n-1)

• a_n = 125 + 5n