in the arithmetic sequence 10,16,22
which term is 214?
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Step-by-step explanation:
in the arithmetic sequence 10,16,22
which term is 214?
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28
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20 th term
Explanation:
the nth term in an arithmetic sequence is
∙
x
a
n
=
a
+
(
n
−
1
)
d
where a is the first term and d the common difference
here
a
=
10
and
d
=
16
−
10
=
6
using the nth term formula, solve for n
10
+
6
(
n
−
1
)
=
124
10
+
6
n
−
6
=
124
6
n
=
124
−
4
=
120
n
=
120
6
=
20
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