Sequence and Series Test

What is the value of  $a^{13\ ?}$  ?
 $312,295,278,261.....$  

•  $a^{13}=91$  

•  $a^{13}=108$  

•  $a^{13}=125$  
  

•  $a^{13}=74$  
  

Express in sigma notation.

 $37+35+33+31+29+27$  

•  $\sum_{n=1}^5-2n+41$  

•  $\sum_{n=1}^6-2n+39$  

•  $\sum_{n=1}^6-2n+32$  

•  $\sum_{n=1}^5-2n+37$  

Tags

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Evaluate  $\sum_{k=1}^7\left(4k-2\right)$  

• 98

• 96

• 100

• 102

Tags

CCSS.6.EE.A.2

Given the sequence  $9,20,31,42,....$   Write a recursive formula for the sequence.

•  $a_n=11\left(a_n-1\right)$  

•  $a_1=9\ \ and\ \ \ a_n=11\left(a_{n-1}\right)$  

•  $a_1=9_{ }\ and\ \ \ a_n=\left(a_{n-1}\right)+11$  

•  $a_n=\left(a_{n-1}\right)+11$  

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

What is the formula for the general term of the sequence  $-27,\ 9,-3,\ 1...$  ?

•  $a_n=-27\left(-3\right)^{n-1}$  

•  $a_n=-27\left(\frac{1}{3}\right)^{n-1}$  

•  $a_n=-27\left(3\right)^{n-1}$  

•  $a_n=-27\left(-\frac{1}{3}\right)^{n-1}$  

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

What is the sum of the first six terms of a geometric sequence whose first term is 5 and whose common ratio is 2?

• 235

• 310

• 315

• 155

Tags

CCSS.HSA.SSE.B.4

 $\sum_{n=1}^97\left(1.5\right)^{n-1}$  

Evaluate

• 521

• 517.207

• 793.31

• 524.207

Tags

CCSS.HSA.SSE.B.4

 $100,50,25,12.5,6.25,...$  

Determine the common ratio for the sequence and state whether the sequence converges or diverges. 

•  $r=\frac{1}{2}\ ;\ diverges$  

•  $r=2\ converges$  

•  $r=2\ diverges$  

•  $r=\frac{1}{2}\ converges$  

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

On her first toss, Lexi throws a discus 150 feet. On each successive toss, she throws the discus 3/4 of the distance reached on the previous throw. If she could keep throwing indefinitely, what is the total distance covered by all of her tosses.

• 153 feet

• 156.75 feet

• 600 feet

• 580 feet

Tags

CCSS.HSA.SSE.B.4

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Write the explicit formula for the arithmetic sequence. $a_1=30\ \ \ and\ \ \ \ d=4.$  

•  $a_n=4n+26$  

•  $a_n=4n$  

•  $a_n=4n+30$  

•  $a_n=30\left(4\right)^{n-1}$  

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2