Use set notation, and list all the elements of the set.
-$$\left\{ 1 , \frac { 1 } { 4 } , \frac { 1 } { 16 } , \ldots , \frac { 1 } { 1024 } \right\}$$
A) $\left\{ 1 , \frac { 1 } { 4 } , \frac { 1 } { 16 } , \frac { 1 } { 64 } , \frac { 1 } { 1024 } \right\}$

B) $\left\{ 1 , \frac { 1 } { 4 } , \frac { 1 } { 6 } , \frac { 1 } { 7 } , \frac { 1 } { 8 } , \frac { 1 } { 9 } \right\}$

C) $\left\{ 1 , \frac { 1 } { 4 } , \frac { 1 } { 16 } , \frac { 1 } { 64 } , \frac { 1 } { 256 } , \frac { 1 } { 1024 } \right\}$

D) $\left\{ 1 , \frac { 1 } { 4 } , \frac { 1 } { 16 } , \frac { 1 } { 64 } , \frac { 1 } { 4096 } , \frac { 1 } { 262,144 } \right\}$

Question

Use set notation, and list all the elements of the set.
-$$\left\{ 1 , \frac { 1 } { 4 } , \frac { 1 } { 16 } , \ldots , \frac { 1 } { 1024 } \right\}$$
A) $\left\{ 1 , \frac { 1 } { 4 } , \frac { 1 } { 16 } , \frac { 1 } { 64 } , \frac { 1 } { 1024 } \right\}$

B) $\left\{ 1 , \frac { 1 } { 4 } , \frac { 1 } { 6 } , \frac { 1 } { 7 } , \frac { 1 } { 8 } , \frac { 1 } { 9 } \right\}$

C) $\left\{ 1 , \frac { 1 } { 4 } , \frac { 1 } { 16 } , \frac { 1 } { 64 } , \frac { 1 } { 256 } , \frac { 1 } { 1024 } \right\}$

D) $\left\{ 1 , \frac { 1 } { 4 } , \frac { 1 } { 16 } , \frac { 1 } { 64 } , \frac { 1 } { 4096 } , \frac { 1 } { 262,144 } \right\}$

Quizplus · Accepted Answer

The elements of the set follow a pattern of being powers of 4 (4^0, 4^1, 4^2, etc.), ending with 4^5 (1024). Option C correctly lists all these elements.

Use Set Notation, and List All the Elements of the Set