Answer:
nth term = 1 1/2n -1
Step-by-step explanation:
The arithmetic sequence formula is:
a
n
=
a
1
+
(
n
–
1
)
d
Where:
a
n
is the nth term in the sequence
a
1
is the first term in the sequence
n
is the term you are solving for
d
is the common difference for any pair of consecutive numbers in the sequence.
First Term or
n
=
1
:
This is given in the problem.
a
1 = 9
Second Term or
n
=
2
:
Substitute
2 for n
in the formula and substitute the values from the problem giving:
a
2
=
9
+
(
(
2
–
1
)
×
-2
)
a
2
=
9
+
(
1
×
-2
)
a
2
=
9
+-2
a
2
=
7
Fifth Term or n
=
5
:
Substitute in the formula and substitute the values from the problem giving:
a
5
=
9+
(
(
5–
1
)
×
-2
)
a
5
=
9
+
(
4
×
-2
)
a
2
=
9
+
-8
a
2
= 1
Using this same process you should be able to determiner the
Third Term or n
=
3
: and Fourth Term or n
=
4
:
Answer:
y = -2x - 1
Step-by-step explanation:
y = -(x+5)2 + 9
Foil method to get rid of parenthesis
y= -2x - 10 + 9
y = -2x - 1
Have a great day!
(Please mark this question as brainiest if it worked or ask me a question if you do not understand)
The common difference is x
the first term is x+1
a_8 = x+1 + x(8-1) = x+1 + 7x = 8x + 1
Answer:
i. ΔAXC ~ ΔCXB
ii. ΔBCX Is-congruent-to ΔACX
Step-by-step explanation:
From the given ΔABC, CX is the altitude of ΔABC; and also an angle bisector of <ACB.
So that:
m<AXC = m<BXC (right angle property)
m<ACX = m<BCX (congruent property)
m<ACX + m<AXC + m<CAX = 
(sum of angles in a triangle)
m<BCX + m<BXC + m<CBX = (sum of angles in a triangle)
Therefore, from the figure it can be deduced that;
i. ΔAXC ~ ΔCXB (Angle-Angle-Side, AAS, property)
ii. ΔBCX Is-congruent-to ΔACX (Angle-Angle-Side, AAS, property)
