Question

Write the algebraic form of the arithmetic sequence 1 4 7 10 etc is 100 a term of the sequence why

Answer 1

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Here's ur answer :

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Precalculus Examples
Popular Problems Precalculus Identify the Sequence 1 , 4 , 7 , 10 , 13
1
,
4
,
7
,
10
,
13
This is an arithmetic sequence since there is a common difference between each term. In this case, adding
3
to the previous term in the sequence gives the next term. In other words,
a
n
=
a
1
+
d
(
n
−
1
)
.
Arithmetic Sequence:
d
=
3
This is the formula of an arithmetic sequence.
a
n
=
a
1
+
d
(
n
−
1
)
Substitute in the values of
a
1
=
1
and
d
=
3
.
a
n
=
1
+
(
3
)
(
n
−
1
)
Simplify each term.
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