The series start " 1, 4, 7, 10, 13, and so on " The number 451 occurs in this list. In which position does 451 comes ?
Answers
Answered by
9
Answer:
Enter a problem...
Algebra Examples
Popular Problems Algebra 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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a
n
=
1
+
3
n
−
3
Subtract
3
from
1
.
a
n
=
3
n
−
2
Answered by
5
Answer:
n=151
Step-by-step explanation:
This series is in AP.
so, Let l=a+(n-1)d {l= an}
l=451
a=1
d=4-1=3
451=1+(n-1)3
451-1=3(n-1)
450/3=n-1
150=n-1
150+1=n
n=151
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