QUARTER 1 WEEK 1 GENERATING PATTERNS

Which of the following does not show a sequence?

• K to 12 Curriculum

• Months of a year

• Body temperature

• Counting numbers

Which of the following is a finite sequence?

• negative even numbers

• even numbers below 100

• even numbers greater than 1

• even numbers between 10 and 50

What is the 9th term in the sequence −1, 4, −9, 16,−25,…?

• 64

• -81

• -64

• 81

Find the first four terms of the sequence 𝑎𝑛=5𝑛−1.

• 5, 10, 15, 20

• 6, 11, 16, 21

• 4, 9, 14, 19

• 5, 9, 13, 17

What is the 20th term of the sequence  $a_n=\frac{\left(-1\right)^n}{n^2}$   ?

•  $\frac{1}{400}$  
  

•  $-\frac{1}{400}$  

•  $\frac{20}{400}$ 

•  $-\frac{20}{400}$ 

What rule will correctly describe the sequence: 2, 5, 10, 17, 26, 37, …?

•  $n+1$  

•  $2n$  

•  $2n\ +1$  
  

•  $n^2+1$  

Find the  $n^{th}$   term of the sequence  $-\frac{1}{2},\ \frac{1}{4},\ -\frac{1}{6},\ \frac{1}{8},\ -\frac{1}{10},...$  

•  $a_n=\frac{\left(-1\right)^n}{2n}$  

•  $a_n=\frac{\left(-1\right)^n}{2}$  

•  $a_n=\frac{-1}{2n}$  
  

•  $a_n=-\frac{1}{2n}$  

What are the next four terms of the sequence 2, 3, 5, 8, ....?

• 12, 17, 23, 30
  

• 12, 20, 33, 54
  

• 13, 21, 34, 55

• 13, 18, 23, 28

Consider the figures below, what is the nth term of the sequence?

•  $\frac{n+1}{n}$  

•  $\frac{n\left(n+1\right)}{2}$  

•  $\frac{2n}{n+1}$  

•  $\frac{n^2+1}{2}$  

Which numerical pattern follows the rule “the next term is obtained by alternately subtracting 2 and multiplying by 3”, when starting with 5?

• 5, 7, 21, 69
  

• 5, 3, 6, 4, 12

• 5, 9, 14, 36
  

• 5, 3, 9, 7, 21