write a general rule for the following sequence of numbers 5,9,13,17,21
Answers
Answered by
0
Answer:
This is an arithmetic sequence since there is a common difference between each term. In this case, adding
4
to the previous term in the sequence gives the next term. In other words,
a
n
=
a
1
+
d
(
n
−
1
)
.
Arithmetic Sequence:
d
=
4
This is the formula of an arithmetic sequence.
a
n
=
a
1
+
d
(
n
−
1
)
Substitute in the values of
a
1
=
5
and
d
=
4
.
a
n
=
5
+
(
4
)
(
n
−
1
)
Simplify each term.
Tap for more steps...
a
n
=
5
+
4
n
−
4
Subtract
4
from
5
.
a
n
=
4
n
+
1
Step-by-step explanation:
hope it helps you
Answered by
2
Given :-
5 + 4 = 9
then,
9 + 4 = 13
after that,
13 + 4 = 17
Similarly,
17 + 4 = 21
Therefore, rule is +4 to any number.
For Example : The sequence after this will be -
21 + 4 = 25
25 + 4 = 29
29 + 4 = 33
Hope it will help you...
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