Answer:
51
Explanation:
To find the seventh term in the arithmetic sequence, we can use the formula for the nth term of an arithmetic sequence:
�
�
=
�
1
+
(
�
−
1
)
�
a
n
=a
1
+(n−1)d
where:
�
�
a
n
is the nth term of the sequence,
�
1
a
1
is the first term of the sequence,
�
n is the position of the term we want to find,
�
d is the common difference between consecutive terms.
In the given sequence, the first term (
�
1
a
1
) is 3, and the common difference (
�
d) is 8 (since each term increases by 8). Plugging these values into the formula, we have:
�
7
=
3
+
(
7
−
1
)
×
8
a
7
=3+(7−1)×8
Simplifying the expression inside the parentheses, we get:
�
7
=
3
+
6
×
8
a
7
=3+6×8
�
7
=
3
+
48
a
7
=3+48
�
7
=
51
a
7
=51
Therefore, the seventh term in the arithmetic sequence is 51.