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.

in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

hope it

4 and 5)16.97 or 12√2

6)15.59 or 9√3

7)y = 15.59 or 9√3     x =27

8)17.80