The arithmetic sequence is –27, –19, –11, –3,......
\The first term
.
Find the common difference by subtracting successive terms.
\The common difference (d) is 8.
Find the nth term, so using the nth term formula:
.
(Substitute
, and d = 8)
Distibute terms using distributive property: a(b – c)= ab – ac.
\
Apply commutative property of addition: a + b = b + a.
\
(Subtract:
)
Find the 17th term in the sequence.
\
(Substitute n = 17)
(Multiply:
)
(Add:
)
The 17th term of the arithmetic sequence
.