Respuesta :
Answer:
Step-by-step explanation:
Use the formula
a
n
=
a
1
+
d
(
n
−
1
)
a
n
=
a
1
+
d
(
n
-
1
)
to identify the arithmetic sequence.
a
n
=
4
n
−
2
The nth term of given series is an = 4n - 2
What is arithmetic sequence?
An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same.
We have
a = 2
Common difference (d):
= 6 - 2 = 4
= 10 - 6 = 4
= 14 - 10 = 4
Common difference (d) = 4
According to the question
We know the formula nth term of arithmetic sequence,
an = a + (n – 1)d
an = 2 + (n - 1)4
an = 2 + 4n - 4
an = 4n - 2
Hence, nth term of given series is an = 4n - 2
To learn more about arithmetic sequence from here
https://brainly.in/question/30431842
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