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 .