The arithmetic sequence is –9, –7, –5, –3,........
\The first term .
Find the common difference by subtracting successive terms.
\The common difference (d) is 2.
Find the nth term, so using the nth term formula: .
(Substitute
, and d = 2)
Distibute terms using distributive property: a(b – c)= ab – ac.
\Apply commutative property of addition: a + b = b + a.
\ (Subtract:
)
Find the 18th term in the sequence.
\ (Substitute n = 18)
(Multiply:
)
(Subtract:
)
The 18th term of the arithmetic sequence .