The arithmetic sequence is
.
The first term
.
Find the common difference by subtracting successive terms.
\The common difference (d) is 6.
Find the nth term, so using the nth term formula:
.
(Substitute
, and d = 6)
Distribute terms using distributive property:
.

Apply commutative property of addition: a + b = b + a.
\
(Subtract:
)
Find the 10th term in the sequence.
\
(Substitute n = 10)
(Multiply:
)
(Subtract:
)
Make a table first five terms of the sequence
.
| \
n \ | \
\
an = 6n | \
\
an \ | \
\
(n, an) \ | \
| \
1 \ | \
\
| \
\
2 \ | \
\
(1, 2) \ | \
| \
2 \ | \
\
| \
\
8 \ | \
\
(2, 8) \ | \
| \
3 \ | \
\
| \
\
14 \ | \
\
(3, 14) \ | \
| \
4 \ | \
\
| \
\
20 \ | \
\
(4, 20) \ | \
| 5 | \ \
| \
26 | \(5, 26) | \
Graph of the first five terms of the sequence
.
.gif\")
Graph of the first five terms of the sequence
.
.gif\")