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
8.
2 terms on left side, 3 on right side
9.
All variables count as coefficients, so they’d be 8m, k, and -16k
10.
The constants are just numbers on their own, or without a variable next to it. Here it’d be 10 and -4
Answer:
The answer is the first option
hope this helps
Step-by-step explanation:
Answer:
approximately 13.9 inches
Step-by-step explanation:
That's 8√6, not 8V7.
The four sides are of the same length (x). According to the Pythagorean Theorem, x² + x² = (diagonal length)² = (8√6)², or
2x² = 64(6) = 384
Dividing both sides by 2, we get:
x² = 192, or x² = 4(48). Then the side length is x = √16√12, or
x = 4√4√3 = 8√3. This is approximately 13.9 inches.
Answer:
The slope is 2.
Step-by-step explanation:
In order to find the slope of the line, we need to start by using the points in the slope formula.
m(slope) = (y2 - y1)/(x2 - x1)
m = (20 - 10)/(6 - 1)
m = 10/5
m = 2
So the slope of this line would be 2
