163k views
3 votes
Which of the following is an arithmetic sequence?

O 4, 8, 12, 16, 20, ...
O 2, 4, 8, 16, 32, ...
O 4, 9, 16, 25, 36, ...
O 1, 1, 2, 3, 5, 8, 13, ...

User Mdesantis
by
6.7k points

1 Answer

5 votes

Answer:

Here are a few lists of numbers:

3, 5, 7 ...

21, 16, 11, 6 ...

1, 2, 4, 8 ...

Explanation:

Ordered lists of numbers like these are called sequences. Each number in a sequence is called a term.

3,3,3, comma 5,5,5, comma 7,...7,...7, comma, point, point, point

\uparrow↑\uparrow \uparrow↑\uparrow \uparrow↑\uparrow

\footnotesize 1^\text{st}\text{ term}1

st

term1, start superscript, start text, s, t, end text, end superscript, start text, space, t, e, r, m, end text \footnotesize 2^\text{nd}\text{ term}2

nd

term2, start superscript, start text, n, d, end text, end superscript, start text, space, t, e, r, m, end text \footnotesize 3^\text{rd}\text{ term}3

rd

term3, start superscript, start text, r, d, end text, end superscript, start text, space, t, e, r, m, end text

Sequences usually have patterns that allow us to predict what the next term might be.

For example, in the sequence 3, 5, 7 ..., you always add two to get the next term:

\footnotesize\maroonC{+2\,\Large\curvearrowright}+2↷start color #ed5fa6, plus, 2, \curvearrowright, end color #ed5fa6 \footnotesize\maroonC{+2\,\Large\curvearrowright}+2↷start color #ed5fa6, plus, 2, \curvearrowright, end color #ed5fa6

3,3,3, comma 5,5,5, comma 7,...7,...7, comma, point, point, point

User Kamen Dobrev
by
5.8k points