Question 828363
1. Describe a pattern in each sequence. What are the next two terms of each sequence? 
24, 22, 20, 18, . . . 
the difference between one term and the next is {{{-2}}}
{{{22-24=-2}}} <--> {{{22=24-2}}}
{{{-2}}} was added to 24 to get 22,
or if you prefer {{{2}}} was subtracted from 24 to get 22.
The pattern continues subtracting {{{2}}} from the previous term each time.
{{{22-2=20}}}
{{{20-2=18}}}
{{{18-2=16}}}
{{{16-2=14}}} , so the answer is	
c. subtract 2 from the previous term; 16, 14	


2. Describe a pattern in each sequence. What are the next two terms of each sequence? 
2, 4, 8, 16, . . . 
In this case the differences between one term and the next are not the same.
{{{4-2=2}} but {{{8-4=4<>2}}}
The ratios between consecutive terms are the same, though.
{{{4/2=2}}} , {{{8/4=2}}} , {{{16/8=2}}}
Each term is double the term before.
{{{2*2=4}}} , {{{2*4=8}}} , {{{2*8=16}}} ,
and the pattern continues with
{{{2*16=32}}} and {{{2*32=64}}}  , so the answer is
d. multiply the previous term by 2; 32, 64 
 
3. Tell whether the sequence is arithmetic. If it is, what is the common difference? 
15, 19, 23, 27, . . .
In an  arithmetic sequence each number is the previous one plus a constant number called the common difference, because the difference between consecutive terms is always that number.
{{{19-15=4}}}
{{{23-19=4}}}
{{{27-23=4}}} So it is an arithmetic sequence and the common difference is {{{4}}}  , so the answer is
b. yes; 4