\"\"

\

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

\

\"\"

\

Graph of the first five terms of the sequence \"\".

\

\"graph