Sequence and Series Quiz

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

• 2
• 1/2
• -14
• -7

Tags

CCSS.HSF.BF.A.2

Find the next three terms: 3, -18, 108, -648

• -6480, -3880, -233280
• 6480, -38880, 233280
• 5184, -31104, 186624
• 3888, -23328, 139968

Tags

CCSS.HSF.BF.A.2

What is the recursive rule for the sequence

2, 6, 18, 54, ...?

• a_k=2(3)^k-1

• a₁ = 2, a_k = a_k-1 + 4

• a₁ = 2, a_k+1 = 3a_k

• a₁ = 3, a_k+1 = 2a_k

Write the nth term formula:  3.5 + 7 + 14 + 28 + 56

• a_n = 3.5(0.5)^n-1
• a_n = 3.5 + 2(n - 1)
• a_n = 3.5 + 3.5(n - 1)
• a_n = 3.5(2)^n-1

Tags

CCSS.HSF.BF.A.2

Find an explicit rule for the nth term of the sequence.

• a_n= -2(4)^n-1

• a_n= -2(4)ⁿ

• a_n= 2(-4)^n-1

• a_n= 2(4)^n-1

Tags

CCSS.HSF.BF.A.2

Determine if the sequence is arithmetic, geometric or neither then write the explicit formula for the sequence.
 $-1,\ 6,\ -36,\ 216...$  

• arithmetic,   $a_n=-1+6\left(n-1\right)$  

• arithmetic,   $a_n=6n-7$  

• geometric,   $a_n=-1\left(-6\right)^{n-1}$  

• geometric,   $a_n=-1\left(6\right)^{n-1}$  

Find the 10th term of the following geometric sequence

5, 20, 80, 320, ...

• 81,920

• 327,680

• 1,310,720

• 5,242,880

Tags

CCSS.HSF.BF.A.2

A geometric sum has a₂=18 and a₅=486. Find the sum of the first 9 terms.

• 1,536

• 59,046

• 177,156

• None of these

Which term is 12,288 in the sequence given by: 3, 6, 12, 24, ...

• 11

• 12

• 13

• 14

Tags

CCSS.HSF.BF.A.2

Find the indicated sum for the geometric series.

S₉ for (-4/5) + 8 + (-80) + 800 + ....

• S₉ = -0.0727273

• S₉ = -72,000

• S₉ = -7,272,727.345

• S₉ = -72,727,272.8