Infinite Series

What type of series is
32 + 16 + 8 + 4 + 2 + 1

• Finite Arithmetic
• Finite Geometric
• Infinite Arithmetic
• Infinite Geometric

Tags

CCSS.HSF.BF.A.2

What is the recursive rule for the sequence 
2, 6, 18, 54, ...?

• a_n=2(3)^n-1
• a₁ = 2, a_n = a_n-1 + 4
• a₁ = 2, a_n = 3a_n-1
• a₁ = 3, a_n = 2a_n-1

Tags

CCSS.HSF.IF.A.3

Which statement is true about the series shown below?
-4 + -2 + -1 + ½ + -¼+ ...

• The series converges because ∣r∣ < 1
• The series diverges because ∣r∣ < 1
• The series converges because ∣r∣ > 1
• The series diverges because ∣r∣ > 1

Is the sequence geometric or arithmetic?
6, 18, 54...

• Arithmetic
• Geometric
• Neither

Tags

CCSS.HSF.BF.A.2

Find the sum of the infinite geometric series, if it exists:
200 - 100 + 50 - 25 +

• Does not exist
• 400/ 3
• 3 / 400

Which of the following is convergent?

Which of the following is/are examples divergent series?(Pick all correct options)

• 0+0+0+0+.......

• 8

• 8/5

• 10

• Does not exist

Evaluate the infinite geometric series:

1 + 1/5 + 1/25 + ...

• 5/4

• 9/5

• 5/6

• 65/27