The arithmetic sequence is 12.1, 17.2, 22.3, 27.4,......
\The first term
.
Find the common difference by subtracting successive terms.
\The common difference (d) is 5.1.
Find the nth term, so using the nth term formula:
.
(Substitute
, and d = 5.1)
Distibute terms using distributive property: a(b – c)= ab – ac.
\
Apply commutative property of addition: a + b = b + a.
\
(Subtract:
)
Find the 10th term in the sequence.
\
(Substitute n = 10)
(Multiply:
)
(Add: 51 + 7 = 58)
Make a table first five terms of the sequence
.
| \
n \ | \
\
an = 5.1(n) + 7 \ | \
\
an \ | \
\
(n, an) \ | \
| \
1 \ | \
\
| \
\
12.1 \ | \
\
(1, 12.1) \ | \
| \
2 \ | \
\
| \
\
17.2 \ | \
\
(2, 17.2) \ | \
| \
3 \ | \
\
| \
\
22.3 \ | \
\
(3, 22.3) \ | \
| \
4 \ | \
\
| \
\
27.4 \ | \
\
(4, 27.4) \ | \
| 5 | \ \
| \
32.5 | \(5, 32.5) | \
Graph of the first five terms of the sequence
.

Graph of the first five terms of the sequence
.
