172k views
0 votes
Im confused on how to do these.Solve question 1 and 2

Im confused on how to do these.Solve question 1 and 2-example-1
User Sandhurst
by
8.7k points

1 Answer

2 votes

Answer:

1. The sequence is an arithmetic sequence since there's a common difference of 200 between the terms of the sequence.

2. The sequence is a geometric sequence since there's a common ratio of 4 between the terms of the sequence

Step-by-step explanation:

In an arithmetic sequence, there will be a common difference(d) between the terms of the sequence.

While in a geometric sequence, there will be a common ratio between the terms of the sequence.

1) Given the below sequence;


-38,162,362,562,762

Let's determine if the sequence above is an arithmetic or geometric sequence;


\begin{gathered} 162-(-38)=200 \\ 362-162=200 \\ 562-362=200 \\ 762-562=200 \\ \therefore common\text{ difference(d) = 200} \end{gathered}

Since there's a common difference of 200 between the terms of the sequence, therefore, we can say that the sequence is an arithmetic sequence.

2) Given the below sequence;


2,8,32,128,512

Let's determine if the sequence above is an arithmetic or geometric sequence;


\begin{gathered} (8)/(2)=4 \\ (32)/(8)=4 \\ (128)/(32)=4 \\ (512)/(128)=4 \\ \therefore common\text{ ratio(r) = 4} \end{gathered}

Since there's a common ratio of 4 between the terms of the sequence, therefore, we can say that the sequence is a geometric sequence.

User Thili
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories