The arithmetic sequence is .
The first term .
Find the common difference by subtracting successive terms.
\The common difference (d) is –3.
Find the nth term, so using the nth term formula: .
(Substitute
, and d = –3)
Distibute terms using distributive property: a(b – c)= ab – ac.
\ (Product of two difference signs is negative)
(Product of two same signs is positive)
Apply commutative property of addition: a + b = b + a.
\ (Apply additive inverse property:
)
Find the 10th term in the sequence.
\ (Substitute n = 10)
(Multiply:
)
Make a table first five terms of the sequence .
\
n \ | \
\
an = –3n \ | \
\
an \ | \
\
(n, an) \ | \
\
1 \ | \
\
| \
\
–3 \ | \
\
(1, –3) \ | \
\
2 \ | \
\
| \
\
–6 \ | \
\
(2, –6) \ | \
\
3 \ | \
\
| \
\
–9 \ | \
\
(3, –9) \ | \
\
4 \ | \
\
| \
\
–12 \ | \
\
(4, –12) \ | \
5 | \ \
| \
–15 | \(5, –15) | \
Graph of the first five terms of the sequence .
Graph of the first five terms of the sequence .