Question

These problems are really difficult.
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Answer 1

First problem: c. Geometric

Second problem: c. 4.5

Explanation:

First problem:

Let's go through the meanings:

a. Sequential-our sequence does have an order to it.

b. Discrete-our sequence isn't continuous; example: it doesn't consist of the numbers between 1 and 2.

c) Geometric-our sequence would have to have a common ratio. It doesn't; example: the ratio for the second term to the first term is 2/1=2 but the ratio from the third term to the second is 3/2=1.5. So there is no common ratio which means this sequence is not geometric.

d) arithmetic-our sequence does have a common difference. The common difference is 1 since taking a term and subtracting from it the previous term always gives you 1; examples: 2-1=3-2=4-3=5-4.

Second Problem:

I'm pretty certain we are suppose to image r is the common ratio. This means the next term can be generated by multiplying it's previous term by r, the common ratio.

So the first term is 2.

The second term would be 2(2.25)=4.5 .

Answer 2

1. C

2. B

Explanation:

For the first question, the answer is geometric, a geometric sequence is a sequence of numbers where each term after the first is found by multiplying a non-zero number called the common ratio. This sequence is not geometric because is has no common ratio.

In the second question, the answer is 4.25 because the first number in the sequence (a1) has a value of 2 and the rate is 2.25. In an arithmetic sequence, the value of the next term is found by adding a certain value called the rate to the previous term.