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:
Step-by-step explanation:
ratio of 216 : 64
bigger is 20 inches
so divide 20 by 216... to find the unit.. then multiply that by 64 to find the size of the other
20/216 = 0.0925925
0.0925925 * 64 =5.9259"
so about 6 inches
and Hi :D
The slope of 6x + 2y = 4 is
y = -3x + 2
Answer:
9
Step-by-step explanation:
I think what they are asking is to subtract the 3 tokens from 21 tokens he already has giving us 18. and since it says "Twice the number of tokens" I'm assuming you divide 2 from 18 giving you 9 tokens.
Answer:
A. milliliters B. 8 fluid ounces
Step-by-step explanation:
An eyedropper is very small and can only hold a small amount. You can eliminate 2 from the start: millimeter and meter. These two are use for measuring distance not volume. ex.) I walked 2 meters. A liter is too big for an eyedropper. ex.) 1 liter of soda.
A glass full of juice would be 8 fuild ounces because a glass is basically a cup. A 8 gallons is too big, and a 8 tablespoons is too small. ex.) gallon of milk and tablespoon of sugar. 8 cups is too big because a glass is about 1 cup. 8 fluid ounces = 1 cup