The first term , difference
and n = 21.
Find the nth term, so using the nth term formula: .
(Substitute
, and
)
Distibute terms using distributive property: a(b – c)= ab – ac.
\ (Product of two different signs is negative)
(Product of two same signs is positive)
Apply commutative property of addition: a + b = b + a.
\ (Add: 5 + 10 = 15)
Find the 21th term in the sequence.
\ (Substitute n = 21)
(Multiply:
)
(Add:
)
The 21th term of the arithmetic sequence .