Mr. Bryant wants to distribute a copy of a chart to his students. He reduces the area of the chart a number of tines on a photocopier, as shown in the table below.

A term in a geometric sequence

Step-by-step explanation:

Geometric Sequences

There are two basic types of sequences: arithmetic and geometric. The arithmetic sequences can be recognized because each term is found as the previous term plus a fixed number called the common difference.

In the geometric sequences, each term is found by multiplying (or dividing) the previous term by a fixed number, called the common ratio.

We are given the sequence of areas of the copies of a chart as a function of the number of times it was copied.

50%, 25%,  12.5%, 6.25%, ...

It's known the next term will follow the previous sequence. Note the second term is equal to the first term divided by 2. The third term is equal to the second divided by 2 and so on.

a2 = a1/2

a3=a2/2

a4=a3/2

This corresponds to a geometric sequence with common ratio 1/2, thus the answer is:

A term in a geometric sequence

32

step-by-step explanation:

answer:

at time x=0 we have 1000, at time x=1 we have 2000, at time x=2 we have 4000.  

so that's an initial value of 1000 and a ratio of 2,

y = 1000 (2^x)

hope this !