James deposited some money into a savings account to save for a motorcycle. Based on the interest rate of the account, he estimates that his money will grow according to the following table.
Years Value
1 $1428
2 $1457
3 $1486
4 $1516
5 $1546
The values follow a geometric sequence. What is the common ratio of the sequence?

Enter your answer as a decimal rounded to two decimal places, if necessary, like this: 42.53

The common ratio of the sequence is 1.02

Explanation:

The common difference of the geometric sequence is the ratio of dividing the term by the previous term.

Now, we shall divide the terms.

Dividing 1428 and 1457, we get,

Dividing 1457 and 1486, we get,

Dividing 1486 and 1516, we get,

Dividing 1516 and 1546, we get,

Thus, the common ratio of the sequence is 1.02

1. sometimes

2.   never

3   .08c = 7.50+.05c   250 pages

step-by-step explanation:

1.   sometimes

the theoretical probability of rolling a 1 is 1/6.   perhaps you got really lucky and never rolled a 1   in those 60 times.   your experimental probability is 0.   or perhaps you rolled a 1   20 times.   your experimental probability is 20/60 is 1/3.     it really just depends on how you rolled in that experiment.

2.   never

the probability of the event occurring is 1.   that is being 100 % sure it will happen.   that is the maximum amount of confidence we have.

3.   no customer card cost:   .08 times number of pages

customer card cost:   7.50 + .05 times number of pages

we want to find when it costs the same amount, so we will set these equal

let c = number of pages

.08c = 7.50+.05c

subtract .05c from each side

.08c-.05c = 7.5+.05c-.05c

.03c=7.5

divide each side by .03

.03c/.03 = 7.5/03

c =250  

the cost is the same at 250 pages