The arithmetic sequence is .
The first term .
Find the common difference by subtracting successive terms.
\The common difference (d) is 1.
Find the nth term, so using the nth term formula: .
(Substitute
, and d = 1)
(Apply multiplicative identity property:
)
Apply commutative property of addition: a + b = b + a.
\ (Apply additive inverse property:
)
Find the 10th term in the sequence.
\ (Substitute n = 10)
(Add: 10 + 7 = 17)
Make a table first five terms of the sequence .
\
\
n \ | \
\
an = n + 7 \ \ \ | \
\
an \ | \
\
(n, an) \ | \
\
1 \ | \
\
| \
\
8 \ \ \ | \
\
(1, 8) \ | \
\
2 \ | \
\
| \
\
9 \ | \
\
(2, 9) \ | \
\
3 \ | \
\
| \
\
10 \ | \
\
(3, 10) \ | \
\
4 \ | \
\
| \
\
11 \ | \
\
(4, 11) \ | \
5 | \ \
| \
14 | \(5, 14) | \
Graph of the first five terms of the sequence .
Graph of the first five terms of the sequence .