Answer:
This is an arithmetic sequence since there is a common difference between each term. In this case, adding
5
to the previous term in the sequence gives the next term. In other words,
a
n
=
a
1
+
d
(
n
−
1
)
.
Arithmetic Sequence:
d
=
5
This is the formula of an arithmetic sequence.
a
n
=
a
1
+
d
(
n
−
1
)
Substitute in the values of
a
1
=
3
and
d
=
5
.
a
n
=
3
+
(
5
)
(
n
−
1
)
Simplify each term.
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a
n
=
3
+
5
n
−
5
Subtract
5
from
3
.
a
n
=
5
n
−
2
Explanation: