The arithmetic sequence is .
Now we can find the common difference d by subtracting two consecutive terms.
\So, the common difference .
The arithmetic sequence with first term , common difference
.
Apply nth term of the arithmetic sequence formula: .
Make a table first five terms of the sequence.
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \
n \ | 5n – 7 | \
an \ | \
(n, an) \ |
\
1 \ | \
5(1) – 7 = 5 – 7 = –2 \ | \
–2 \ | \
(1, –2) \ |
\
2 \ | \
5(2) – 7 = 10 – 7 = 3 \ | \
3 \ | \
(2, 3) \ |
\
3 \ | \
5(3) – 7 = 15 – 7 = 8 \\ | \
8 \ | \
(3, 8) \ |
\
4 \ | \
5(4) – 7 = 20 – 7 = 13 \\ | \
13 \ | \
(4, 13) \ |
\
5 \ | \
5(5) – 7 = 25 – 7 = 18 \\ | \
18 \ | \
(5, 18) \ |
Graph the first five terms of the sequence.
\The nth terms of the sequence .
Graph the first five terms of the sequence.
\