Sequence and Series TEST

What is the value of  $a^{14\ ?}$  ?
 $312,295,278,261.....$  

•  $a^{14}=91$  

•  $a^{14}=74$  

•  $a^{14}=533$  
  

•  $a^{14}=550$  
  

Express in sigma notation.

 $37+34+31+28+25+22$  

•  $\sum_{x=1}^5-3n+40$  

•  $\sum_{x=1}^6-3n+37$  

•  $\sum_{x=1}^6-3n+40$  

•  $\sum_{x=1}^5-3n+37$  

Evaluate  $\sum_{k=1}^7\left(4k-3\right)$  

• 87

• 91

• 95

• 25

Given the sequence  $9,16,23,30,....$   Write a recursive formula for the sequence.

•  $a_n=7\left(a_n-1\right)$  

•  $a_1=9\ \ and\ \ \ a_n=7\left(a_{n-1}\right)$  

•  $a_n=\left(a_{n-1}\right)+7$  

•  $a_1=9_{ }\ and\ \ \ a_n=\left(a_{n-1}\right)+7$  

What is the formula for the general term of the sequence  $-64,16,-4,\ 1...$  ?

•  $a_n=-64\left(-\frac{1}{4}\right)^{n-1}$  

•  $a_n=64\left(\frac{1}{4}\right)^{n-1}$  

•  $a_n=64\left(4\right)^{n-1}$  

•  $a_n=-64\left(-4\right)^{n-1}$  

What is the sum of the first six terms of a geometric sequence whose first term is 3 and whose common ratio is 2?

• 21

• 189

• 381

• 93

 $\sum_{n=1}^96\left(1.5\right)^{n-1}$  

Evaluate

• 679.98

• 295.547

• 449.32

• 443.32

 $.025,.25,205,25,250,..$  

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

•  $r=10\ ;\ diverges$  

•  $r=10\ converges$  

•  $r=\frac{1}{10}\ diverges$  

•  $r=\frac{1}{10}\ converges$  

On her first toss, Lexi throws a discus 158 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.

• 632

• -474

• 474

• 630.15

 $2,\ 14,\ 28,\ 56\ ....$  

Write the recursive formula for the sequence. 

•  $a_n=7\left(a_{n-1}\right)$  

•  $a_1=2\ \ \ \ and\ \ \ \ a_n=7\left(a_{n-1}\right)$  

•  $a_n=\left(a_{n-1}\right)+7$  

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