Answer:
m = 11/9
Step-by-step explanation:
m = (y2 - y1) / (x2 - x1)
= (-7 - 4) / (-3 - 6)
= -11/-9
= 11/9
Sequence: 5/2, 5/4, 5/8, 5/16
a8=?
a1=5/2
a2=5/4
a3=5/8
a4=5/16
a2/a1=(5/4)/(5/2)=(5/4)*(2/5)=(5*2)/(4*5)=2/4=1/2
a3/a2=(5/8)/(5/4)=(5/8)*(4/5)=(5*4)/(8*5)=4/8=1/2
a4/a3=(5/16)/(5/8)=(5/16)*(8/5)=(5*8)/(16*5)=8/16=1/2
Ratio: r=a2/a1=a3/a2=a4/a3→r=1/2
an=a1*r^(n-1)
a1=5/2, r=1/2
an=(5/2)*(1/2)^(n-1)
an=(5/2)*[1^(n-1)/2^(n-1)]
an=(5/2)*[1/2^(n-1)]
an=(5*1)/[2*2^(n-1)]
an=5/2^(1+n-1)
an=5/2^n
n=8→a8=5/2^8
a8=5/256
Answers:
The formula for the general term or nth term for the sequence is an=5/2^n
a8=5/256
Answer:
<h2>
m = -¹¹/₄</h2>
Step-by-step explanation:
The equation of a line with slope of <em>m</em> and y-intercept of <em>b</em> is: y = mx + b
b = 2 and line contains the point (4, -9), so:
-9 = m×4 + 2 {subtract 2 from both sides}
-11 = 4m {divide booth sides by 4
m = -¹¹/₄
2*2+4*2(1+1) that is going be your answer
