Unit 1 Lesson 10

A sequence is defined by  $f\left(0\right)=3,\ f\left(n\right)=2\cdot f\left(n-1\right);\ n\ge1.$  Write a definition for the  $nth$  term of  $f.$  

•  $f\left(n\right)=3\cdot2^n$  for  $n\ge0$  

•  $f\left(n\right)=2^n$  for  $n\ge0$  

•  $f\left(n\right)=3^n$  for $n\ge0$  

•  $f\left(n\right)=3^n\cdot2$  for  $n\ge0$  

Tags

CCSS.HSF.IF.A.3

A geometric sequence,  $g\left(n\right)$  starts 20, 60, ... Define $g$  recursively and for the  $nth$  term.

•  $g\left(0\right)=60,\ g\left(n\right)=3\cdot g\left(n-1\right);\ n\ge1$  

•  $g\left(0\right)=20,\ g\left(n\right)=3\cdot g\left(n-1\right);\ n\ge1$  

•  $g\left(0\right)=60,\ g\left(n\right)=3+g\left(n-1\right);\ n\ge1$  

•  $g\left(0\right)=20,\ g\left(n\right)=3+g\left(n-1\right);\ n\ge1$  

Tags

CCSS.HSF.IF.A.3

An arithmetic sequence has $a\left(1\right)=4,\ a\left(2\right)=16.$ Find the value of  $a\left(15\right).$  

• 160

• 172

• 184

• 196

Tags

CCSS.HSF.BF.A.2

A geometric sequence has $g\left(0\right)=4,\ g\left(1\right)=16.$ Explain or who how to find the value of  $g\left(15\right).$  

• 268,435,456

• 1,073,741,824

• 4,294,967,296

• 17,179,869184

Tags

CCSS.HSF.BF.A.2

A piece of paper has an area of 96 square inches. Complete the table with the area of the piece of paper $A\left(n\right)$  in square inches, after it is folded in half  $n$  times.

Tags

CCSS.HSF.BF.A.2

A piece of paper has an area of 96 square inches. Which defines  $A$  for the  $nth$  term? 

•  $A\left(n\right)=96\cdot\left(\frac{1}{2}\right)^n;\ n\ge1$  

•  $A\left(n\right)=48\cdot\left(\frac{1}{2}\right)^n;\ n\ge0$  

•  $A\left(n\right)=96\cdot\left(\frac{1}{2}\right)^n;\ n\ge0$  

•  $A\left(n\right)=48\cdot\left(\frac{1}{2}\right)^n;\ n\ge2$  

Tags

CCSS.HSF.LE.A.2

Here is a growing pattern  $D.$ Is  $D$  a geometric sequence, an arithmetic sequence, or neither?

• arithmetic

• geometric

• neither

Tags

CCSS.HSF.BF.A.2

A paper clip weighs 0.5 grams and an empty envelop weighs 6.75 grams. Han adds paper clips one at a time to an empty envelope. Complete the table with the weight of the envelope  $w\left(n\right),$  in grams, after  $n$  paper clips have been added.

A paper clip weighs 0.5 grams and an empty envelop weighs 6.75 grams. Han adds paper clips one at a time to an empty envelope. Does $w\left(10.25\right)$  make sense?

• Yes because eventually the envelope weighes 10.25

• No because Han can only add a whole number of paper clips.

Tags

CCSS.HSF.IF.A.2