Nicholas found the 13th term of the geometric sequence 15, 30, 60, 120 the following way: A(13) = 15 * 213
A(13) = 15 * 8,192
A(13) = 122,880

Is Nicolas correct? Why or why not? (Make sure to justify your answer) If Nicolas is incorrect please state the correct solution.

No. Nicolas is wrong.

Step-by-step explanation:

The formula for calculating nth term of a geometric sequence is given as:

= ar^n-1.

where a = first term = 15

r = common ratio = 30/15 = 2

n = 13

Using the formula,

= ar^n-1

= 15 × 2^(13-1)

= 15 × 2^12

= 15 × 4096

= 61440

The 13th term is 61440. Nicolas is wrong.

a

step-by-step explanation:

jjddbdhid r

(0,,,0)

step-by-step explanation:

the table of x and y values is shown in the attached pic(part of question)

we have to decide according that graph

given points are (0, 0) (–1, 0), (2, 0)

when we graph these points on graph they show an increasing line as shown in the attached pic