Answer:
The expression for the nth term is Tn = 8n -7
Step-by-step explanation:
Here, we are to find an expression for the nth term of the sequence.
Mathematically, the nth term of an arithmetic sequence can be expressed as;
Tn = a + (n-1)d
for T2, the equation is
a + d = 9
for T4, the equation is
a + 3d = 25
we can substitute the equation of T2 into T4 but we first need to rewrite T4
a + d + 2d = 25
9 + 2d = 25
2d = 25 -9
2d = 16
d = 16/2
d = 8
now since a + d = 9
a = 9-d
a = 9-8
a = 1
So the expression for the nth term would be;
1 + (n-1)8
1 + 8n - 8
= 8n -8+1
= 8n -7
Answer:
We conclude that the equation of the line is:
Step-by-step explanation:
The slope-intercept form of the line equation

where
Given the data table
x -3 -5 -7 -9 -11
y -16 -26 -36 -46 -56
From the table taking two points
Determining the slope between (-3, -16) and (-5, -26)




Thus, the slope of the line is: m = 5
substituting m = 5 and (-3, -16) in the slope-intercept form of the line equation to determine the y-intercept b

-16 = 5(-3) + b
-16 = -15 + b
b = -16+15
b = 1
Thus, the y-intercept b = 1
now substituting m = 5 and b = 1 in the slope-intercept form of the line equation


Therefore, we conclude that the equation of the line is:
Answer:
Step-by-step explanation:
24)
200= 3(21) + 4x
200= 63 +4x
-63 -63
137= 4x
divide each side by 4
34 = x
c
25)
.5(pi)= about 1.6
1.6(2.5)= 4
c
44)
equation- T= 12.17+0.75v
105.75= 12.17 + .75v
-12.17 -12.17
93.58= .75v
divide each side by .75
answer 125
D, mixed double tennis is wen each team has a man n women
0 represents having no money, Kyle starts off the day with +53.76 at the end of the day he has -15.23