Write an explicit formula for the sequence and find the 18th term.
12, 3, 3/4

Nth term = 3 × (¼)^(n-2)

18th term: 3/4¹⁶

Step-by-step explanation:

12 ,3 , ¾..

Are terms of a Geometric progression with:

First term = 12

Common ratio = 3/12 = ¼

Nth term = 12 × (¼)^(n-1)

= (3×4) × (¼)^(n - 2)

= 3 × (¼)^(n-2)

18th term: n = 18

12 × (¼)^(18-1)

12 × (¼)¹⁷

3/4¹⁶ or 6.985 × 10^(-10)

3/4294967296

Step-by-step explanation:

The common ratio is

3/12 = 1/4

The explicit formula

an = a1 r^(n-1)

an = 12 (1/4)^ (n-1)

The 18th term is

a18 = 12 * (1/4)^17

     = 3/4294967296

9.55 degrees.

step-by-step explanation:

the given angle is

1 cycle is equal to 2π radians. so 4π will be equal to two cycles.

5.166667π-4π = 1.166667π

hence, this angle goes a little more than negative x axis.

1.166667π-π= 0.166667π

hence, the reference angle is 0.166667π radians.

1 radian = 57.2958 degrees

now, in degrees, this should be equals to 9.55 degrees.

a function could be identified in 3 ways either on a chart,graph, or ordered pairs. first a function is that each point has its own. the rule is that there can be many x's to one y but there can not be 2 x's at different y's. so on a graph when you put a straight line through the y's there should be one dot only to be a function.

step-by-step explanation: