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 .