Answer:
a
n
=
−
2
n
+
15
Step-by-step explanation:
This is an arithmetic sequence since there is a common difference between each term. In this case, adding
−
2
to the previous term in the sequence gives the next term. In other words,
a
n
=
a
1
+
d
(
n
−
1
)
.
Arithmetic Sequence:
d
=
−
2
This is the formula of an arithmetic sequence.
a
n
=
a
1
+
d
(
n
−
1
)
Substitute in the values of
a
1
=
13
and
d
=
−
2
.
a
n
=
13
+
(
−
2
)
(
n
−
1
)
Simplify each term.
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a
n
=
13
−
2
n
+
2
Add
13
and
2
.
a
n
=
−
2
n
+
15
Answer:
10000
Step-by-step explanation:
4^2 (100) = 1600
so,
10^2 (100) gives us our answer of 10000
Answer:

Step-by-step explanation:
Given :
Length of the rectangle (l)=15m
Width of the rectangle (w)= 6 m
Area of the rectangle can be calculated as :

Now,
Side of square (s)=12 m
Area of the square can be find:

Answer:
53
Step-by-step explanation:
Sum of interior angles of a pentagon = 540°
Therefore,
2x° +2x° + 3x° + 3x° + 10 = 540°
10x° + 10° = 540°
10x° = 540° - 10°
10x° = 530°
10x = 530
x = 530/10
x = 53