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 .
Graph of the first five terms of the sequence .