The arithmetic sequence is 23, 25, 27, 29,........
\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: 23 – 2 = 21)
Find the 12th term in the sequence.
\
(Substitute n = 12)
(Multiply:
)
(Add: 24 + 21 = 45)
The 12th term of the arithmetic sequence
.