Use the inductive reasoning to determine the next two terms in each sequence 12 17 22 27
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2
next two terms are 32 and 37
Answered by
1
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
=
7
and
d
=
5
.
a
n
=
7
+
(
5
)
(
n
−
1
)
Simplify each term.
Tap for more steps...
a
n
=
7
+
5
n
−
5
Subtract
5
from
7
.
a
n
=
5
n
+
2
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