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:
x = 7
Step-by-step explanation:
all we know is that she had 1 brownie at the end, in the end she gave half her brownie to tyler, so add one who will get 1 1/2, before that she split her brownies between her friends, so multiply 1 1/2 by 2 and you will get 3, before that she gave 1/2 a brownie to Kiran, so we would add 1/2 to 3 and get 3 1/2, before that she first split it in half for a her friends, so at last, multiply 3 1/2 by 2 and you will geet 7 as your final answer.
Answer:
The answer is 5000
Step-by-step explanation:
Since you are recycling the boxes you will be subtracting 2 3/6 and 1 2/3 since you’re a denominators you’re not mad she have to find a common denominator which would be six. So you have to do 2/2 x 2/3 = 4/6. So then you would do 3/6 - 4/6 = 1/6. Then you would subtract 1-2=1. Then you would do 1 + 1/6 = 1 1/6
So the answer is 1 1/6.
I hope this helped