Identify the 17th term of a geometric sequence where a1 = 16 and a5 = 150.06. round the common ratio and 17th term to the nearest hundredth.
1.)a17 ≈ 123,802.31
2.)a17 ≈ 30,707.05
3.a17 ≈ 19,684.01
4.)a17 ≈ 216,654.05

The correct option is 1.

Step-by-step explanation:

It is given that the first term of a geometric sequence is 16 the fifth term of the sequence is 150.06.

The nth term of a geometric sequence is

                 .... (1)

The fifth term of the sequence is

Substitute and .

Divide both sides by 16.

Substitute n=17, and to find the 17th term.

Therefore the correct option is 1.

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi