[W5/D4] Patterns and Sequences

The first four terms in a pattern are shown below:
 $7,\ 10,\ 13,\ 16,\ ...$  

What type of function is this?

• Linear

• Quadratic

• Exponential

Consider the following sequence: $20,\ 40,\ 80,\ 160,\ ...$  

What is the common ratio?

• 20

• 40

• 2

• 4

The table shows ordered pairs of a quadratic function. What will be the value when $x=40$  ?

•  $-7$  

•  $1,361$  

•  $-9,600$  

•  $1,250$  

What kind of function is represented in this image?

• Linear

• Quadratic

• Exponential

Consider the following pattern: $-12,\ -8,\ -4,\ 0$  

What would be the 8th term?

•  $16$  

•  $12$  

•  $20$  

•  $8$  

The table shows the height of a projectile, h(t), at different times.

What function type does this table represent?

• Linear

• Quadratic

• Exponential

Based on the exponential relationship found in the table, what are the next three terms?

• $\left\{\left(4,\ 7\right),\ \left(5,\ 10\right),\ \left(6,\ 13\right)\right\}$

• $\left\{\left(4,\ 16\right),\ \left(5,\ 64\right),\ \left(6,\ 256\right)\right\}$

• $\left\{\left(4,\ 9\right),\ \left(5,\ 14\right),\ \left(6,\ 20\right)\right\}$

• $\left\{\left(4,\ 1\right),\ \left(5,\ 0.25\right),\ \left(6,\ 0.0625\right)\right\}$

In a sequence of numbers, $a_3=0$ , $a_4=6$ , $a_5=12$ , $a_6=18$ , $a_7=24$ . Based on this information, which equation can be used to find the  $n^{th}$  term in the sequence,  $a_n$ ? 

•  $a_n=-6n+18$  

•  $a_n=-18n+6$  

•  $a_n=6n-18$  

•  $a_n=18n-6$  

Consider the arithmetic sequence: $a_4=1.1,\ a_3=0.7,\ a_2=0.3,\ a_1=-0.1$  

What would be the equation for this sequence?

•  $a_n=0.5n-0.4$  

•  $a_n=-0.4n+0.5$  

•  $a_n=0.5n+0.4$  

•  $a_n=0.4n-0.5$  

The first four terms in a pattern are shown: $4,\ 16,\ 36,\ 64,\ ...$  

What are the values of the next three terms?

•  $100,\ 144,\ 196$  

•  $128,\ 256,\ 512$  

•  $36,\ 16,\ 4$  

•  $92,\ 121,\ 150$