The arithmetic sequence is 0.5, 1, 1.5, 2,........
\The first term .
Find the common difference by subtracting successive terms.
\The common difference (d) is 0.5.
Find the nth term, so using the nth term formula: .
(Substitute
, and d = 0.5)
Distibute terms using distributive property: a(b – c)= ab – ac.
\Apply commutative property of addition: a + b = b + a.
\ (Apply additive inverse property:
)
Find the 50th term in the sequence.
\ (Substitute n = 50)
(Multiply:
)
The 50th term of the arithmetic sequence .